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Finding the Fourth Proportional to 503.49, 695.21 and 405.71

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Solution

The fourth proportional to 503.49, 695.21 and 405.71 is: 560.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.49 : 695.21 = 405.71 : x
  2. Step 2: Convert to fraction form
    503.49/695.21 = 405.71/x
  3. Step 3: Cross multiply
    503.49x = 695.21 × 405.71
  4. Step 4: Simplify right side
    503.49x = 282,048.14
  5. Step 5: Solve for x
    x = 282,048.14/503.49
  6. Step 6: Final answer
    x = 560.19

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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.