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Finding the Fourth Proportional to 503.76, 695.25 and 282.70

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Solution

The fourth proportional to 503.76, 695.25 and 282.70 is: 390.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.76 : 695.25 = 282.70 : x
  2. Step 2: Convert to fraction form
    503.76/695.25 = 282.70/x
  3. Step 3: Cross multiply
    503.76x = 695.25 × 282.70
  4. Step 4: Simplify right side
    503.76x = 196,548.04
  5. Step 5: Solve for x
    x = 196,548.04/503.76
  6. Step 6: Final answer
    x = 390.16

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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.