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Finding the Fourth Proportional to 503.66, 695.04 and 282.63

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Solution

The fourth proportional to 503.66, 695.04 and 282.63 is: 390.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.66 : 695.04 = 282.63 : x
  2. Step 2: Convert to fraction form
    503.66/695.04 = 282.63/x
  3. Step 3: Cross multiply
    503.66x = 695.04 × 282.63
  4. Step 4: Simplify right side
    503.66x = 196,435.84
  5. Step 5: Solve for x
    x = 196,435.84/503.66
  6. Step 6: Final answer
    x = 390.01

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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.