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Finding the Fourth Proportional to 503.16, 694.32 and 282.06

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Solution

The fourth proportional to 503.16, 694.32 and 282.06 is: 389.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.16 : 694.32 = 282.06 : x
  2. Step 2: Convert to fraction form
    503.16/694.32 = 282.06/x
  3. Step 3: Cross multiply
    503.16x = 694.32 × 282.06
  4. Step 4: Simplify right side
    503.16x = 195,839.90
  5. Step 5: Solve for x
    x = 195,839.90/503.16
  6. Step 6: Final answer
    x = 389.22

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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.