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Finding the Fourth Proportional to 503.84, 695.25 and 282.75

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Solution

The fourth proportional to 503.84, 695.25 and 282.75 is: 390.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.84 : 695.25 = 282.75 : x
  2. Step 2: Convert to fraction form
    503.84/695.25 = 282.75/x
  3. Step 3: Cross multiply
    503.84x = 695.25 × 282.75
  4. Step 4: Simplify right side
    503.84x = 196,581.94
  5. Step 5: Solve for x
    x = 196,581.94/503.84
  6. Step 6: Final answer
    x = 390.17

Related Problems

Find fourth proportional to 251.92, 347.63 and 141.38
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.