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Finding the Fourth Proportional to 710.23, 1,065.89 and 363.53

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Solution

The fourth proportional to 710.23, 1,065.89 and 363.53 is: 545.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.23 : 1,065.89 = 363.53 : x
  2. Step 2: Convert to fraction form
    710.23/1,065.89 = 363.53/x
  3. Step 3: Cross multiply
    710.23x = 1,065.89 × 363.53
  4. Step 4: Simplify right side
    710.23x = 387,481.17
  5. Step 5: Solve for x
    x = 387,481.17/710.23
  6. Step 6: Final answer
    x = 545.58

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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.