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Finding the Fourth Proportional to 503.52, 695.42 and 425.49

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Solution

The fourth proportional to 503.52, 695.42 and 425.49 is: 587.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.52 : 695.42 = 425.49 : x
  2. Step 2: Convert to fraction form
    503.52/695.42 = 425.49/x
  3. Step 3: Cross multiply
    503.52x = 695.42 × 425.49
  4. Step 4: Simplify right side
    503.52x = 295,892.13
  5. Step 5: Solve for x
    x = 295,892.13/503.52
  6. Step 6: Final answer
    x = 587.65

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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.