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Finding the Fourth Proportional to 457.52, 630.59 and 387.77

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Solution

The fourth proportional to 457.52, 630.59 and 387.77 is: 534.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.52 : 630.59 = 387.77 : x
  2. Step 2: Convert to fraction form
    457.52/630.59 = 387.77/x
  3. Step 3: Cross multiply
    457.52x = 630.59 × 387.77
  4. Step 4: Simplify right side
    457.52x = 244,518.79
  5. Step 5: Solve for x
    x = 244,518.79/457.52
  6. Step 6: Final answer
    x = 534.45

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