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Finding the Fourth Proportional to 710.04, 1,065.14 and 363.39

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Solution

The fourth proportional to 710.04, 1,065.14 and 363.39 is: 545.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.04 : 1,065.14 = 363.39 : x
  2. Step 2: Convert to fraction form
    710.04/1,065.14 = 363.39/x
  3. Step 3: Cross multiply
    710.04x = 1,065.14 × 363.39
  4. Step 4: Simplify right side
    710.04x = 387,061.22
  5. Step 5: Solve for x
    x = 387,061.22/710.04
  6. Step 6: Final answer
    x = 545.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.