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Finding the Fourth Proportional to 457.16, 630.90 and 260.74

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Solution

The fourth proportional to 457.16, 630.90 and 260.74 is: 359.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.16 : 630.90 = 260.74 : x
  2. Step 2: Convert to fraction form
    457.16/630.90 = 260.74/x
  3. Step 3: Cross multiply
    457.16x = 630.90 × 260.74
  4. Step 4: Simplify right side
    457.16x = 164,497.71
  5. Step 5: Solve for x
    x = 164,497.71/457.16
  6. Step 6: Final answer
    x = 359.83

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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.