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Finding the Fourth Proportional to 410.51, 611.92 and 387.02

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Solution

The fourth proportional to 410.51, 611.92 and 387.02 is: 576.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.51 : 611.92 = 387.02 : x
  2. Step 2: Convert to fraction form
    410.51/611.92 = 387.02/x
  3. Step 3: Cross multiply
    410.51x = 611.92 × 387.02
  4. Step 4: Simplify right side
    410.51x = 236,825.28
  5. Step 5: Solve for x
    x = 236,825.28/410.51
  6. Step 6: Final answer
    x = 576.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.