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Finding the Fourth Proportional to 724.06, 1,084.33 and 358.35

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Solution

The fourth proportional to 724.06, 1,084.33 and 358.35 is: 536.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.06 : 1,084.33 = 358.35 : x
  2. Step 2: Convert to fraction form
    724.06/1,084.33 = 358.35/x
  3. Step 3: Cross multiply
    724.06x = 1,084.33 × 358.35
  4. Step 4: Simplify right side
    724.06x = 388,569.66
  5. Step 5: Solve for x
    x = 388,569.66/724.06
  6. Step 6: Final answer
    x = 536.65

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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.