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Finding the Fourth Proportional to 707.29, 1,061.34 and 296.39

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Solution

The fourth proportional to 707.29, 1,061.34 and 296.39 is: 444.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.29 : 1,061.34 = 296.39 : x
  2. Step 2: Convert to fraction form
    707.29/1,061.34 = 296.39/x
  3. Step 3: Cross multiply
    707.29x = 1,061.34 × 296.39
  4. Step 4: Simplify right side
    707.29x = 314,570.56
  5. Step 5: Solve for x
    x = 314,570.56/707.29
  6. Step 6: Final answer
    x = 444.76

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Why These Related Problems?

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