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Finding the Fourth Proportional to 714.10, 985.49 and 403.62

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Solution

The fourth proportional to 714.10, 985.49 and 403.62 is: 557.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.10 : 985.49 = 403.62 : x
  2. Step 2: Convert to fraction form
    714.10/985.49 = 403.62/x
  3. Step 3: Cross multiply
    714.10x = 985.49 × 403.62
  4. Step 4: Simplify right side
    714.10x = 397,763.47
  5. Step 5: Solve for x
    x = 397,763.47/714.10
  6. Step 6: Final answer
    x = 557.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.