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Finding the Fourth Proportional to 708.29, 1,062.01 and 291.70

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Solution

The fourth proportional to 708.29, 1,062.01 and 291.70 is: 437.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.29 : 1,062.01 = 291.70 : x
  2. Step 2: Convert to fraction form
    708.29/1,062.01 = 291.70/x
  3. Step 3: Cross multiply
    708.29x = 1,062.01 × 291.70
  4. Step 4: Simplify right side
    708.29x = 309,788.32
  5. Step 5: Solve for x
    x = 309,788.32/708.29
  6. Step 6: Final answer
    x = 437.37

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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.