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Finding the Fourth Proportional to 642.32, 885.80 and 417.88

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Solution

The fourth proportional to 642.32, 885.80 and 417.88 is: 576.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.32 : 885.80 = 417.88 : x
  2. Step 2: Convert to fraction form
    642.32/885.80 = 417.88/x
  3. Step 3: Cross multiply
    642.32x = 885.80 × 417.88
  4. Step 4: Simplify right side
    642.32x = 370,158.10
  5. Step 5: Solve for x
    x = 370,158.10/642.32
  6. Step 6: Final answer
    x = 576.28

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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.