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Finding the Fourth Proportional to 442.57, 663.14 and 260.13

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Solution

The fourth proportional to 442.57, 663.14 and 260.13 is: 389.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.57 : 663.14 = 260.13 : x
  2. Step 2: Convert to fraction form
    442.57/663.14 = 260.13/x
  3. Step 3: Cross multiply
    442.57x = 663.14 × 260.13
  4. Step 4: Simplify right side
    442.57x = 172,501.31
  5. Step 5: Solve for x
    x = 172,501.31/442.57
  6. Step 6: Final answer
    x = 389.77

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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.