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Finding the Fourth Proportional to 713.42, 1,068.65 and 365.70

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Solution

The fourth proportional to 713.42, 1,068.65 and 365.70 is: 547.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.42 : 1,068.65 = 365.70 : x
  2. Step 2: Convert to fraction form
    713.42/1,068.65 = 365.70/x
  3. Step 3: Cross multiply
    713.42x = 1,068.65 × 365.70
  4. Step 4: Simplify right side
    713.42x = 390,805.31
  5. Step 5: Solve for x
    x = 390,805.31/713.42
  6. Step 6: Final answer
    x = 547.79

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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.