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Finding the Fourth Proportional to 642.10, 886.08 and 358.50

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Solution

The fourth proportional to 642.10, 886.08 and 358.50 is: 494.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.10 : 886.08 = 358.50 : x
  2. Step 2: Convert to fraction form
    642.10/886.08 = 358.50/x
  3. Step 3: Cross multiply
    642.10x = 886.08 × 358.50
  4. Step 4: Simplify right side
    642.10x = 317,659.68
  5. Step 5: Solve for x
    x = 317,659.68/642.10
  6. Step 6: Final answer
    x = 494.72

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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.