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Finding the Fourth Proportional to 457.29, 630.51 and 363.75

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Solution

The fourth proportional to 457.29, 630.51 and 363.75 is: 501.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.29 : 630.51 = 363.75 : x
  2. Step 2: Convert to fraction form
    457.29/630.51 = 363.75/x
  3. Step 3: Cross multiply
    457.29x = 630.51 × 363.75
  4. Step 4: Simplify right side
    457.29x = 229,348.01
  5. Step 5: Solve for x
    x = 229,348.01/457.29
  6. Step 6: Final answer
    x = 501.54

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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.