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Finding the Fourth Proportional to 707.27, 1,061.17 and 296.35

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Solution

The fourth proportional to 707.27, 1,061.17 and 296.35 is: 444.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.27 : 1,061.17 = 296.35 : x
  2. Step 2: Convert to fraction form
    707.27/1,061.17 = 296.35/x
  3. Step 3: Cross multiply
    707.27x = 1,061.17 × 296.35
  4. Step 4: Simplify right side
    707.27x = 314,474.34
  5. Step 5: Solve for x
    x = 314,474.34/707.27
  6. Step 6: Final answer
    x = 444.63

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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.