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Finding the Fourth Proportional to 456.99, 630.57 and 257.78

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Solution

The fourth proportional to 456.99, 630.57 and 257.78 is: 355.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.99 : 630.57 = 257.78 : x
  2. Step 2: Convert to fraction form
    456.99/630.57 = 257.78/x
  3. Step 3: Cross multiply
    456.99x = 630.57 × 257.78
  4. Step 4: Simplify right side
    456.99x = 162,545.18
  5. Step 5: Solve for x
    x = 162,545.18/456.99
  6. Step 6: Final answer
    x = 355.69

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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.