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Finding the Fourth Proportional to 652.57, 977.92 and 490.37

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Solution

The fourth proportional to 652.57, 977.92 and 490.37 is: 734.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.57 : 977.92 = 490.37 : x
  2. Step 2: Convert to fraction form
    652.57/977.92 = 490.37/x
  3. Step 3: Cross multiply
    652.57x = 977.92 × 490.37
  4. Step 4: Simplify right side
    652.57x = 479,535.29
  5. Step 5: Solve for x
    x = 479,535.29/652.57
  6. Step 6: Final answer
    x = 734.85

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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.