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Finding the Fourth Proportional to 457.31, 630.51 and 390.80

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Solution

The fourth proportional to 457.31, 630.51 and 390.80 is: 538.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.31 : 630.51 = 390.80 : x
  2. Step 2: Convert to fraction form
    457.31/630.51 = 390.80/x
  3. Step 3: Cross multiply
    457.31x = 630.51 × 390.80
  4. Step 4: Simplify right side
    457.31x = 246,400.16
  5. Step 5: Solve for x
    x = 246,400.16/457.31
  6. Step 6: Final answer
    x = 538.81

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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.