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Finding the Fourth Proportional to 457.14, 630.85 and 260.65

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Solution

The fourth proportional to 457.14, 630.85 and 260.65 is: 359.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.14 : 630.85 = 260.65 : x
  2. Step 2: Convert to fraction form
    457.14/630.85 = 260.65/x
  3. Step 3: Cross multiply
    457.14x = 630.85 × 260.65
  4. Step 4: Simplify right side
    457.14x = 164,432.17
  5. Step 5: Solve for x
    x = 164,432.17/457.14
  6. Step 6: Final answer
    x = 359.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.