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Finding the Fourth Proportional to 714.24, 985.68 and 403.76

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Solution

The fourth proportional to 714.24, 985.68 and 403.76 is: 557.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.24 : 985.68 = 403.76 : x
  2. Step 2: Convert to fraction form
    714.24/985.68 = 403.76/x
  3. Step 3: Cross multiply
    714.24x = 985.68 × 403.76
  4. Step 4: Simplify right side
    714.24x = 397,978.16
  5. Step 5: Solve for x
    x = 397,978.16/714.24
  6. Step 6: Final answer
    x = 557.21

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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.