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Finding the Fourth Proportional to 642.40, 964.02 and 354.04

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Solution

The fourth proportional to 642.40, 964.02 and 354.04 is: 531.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.40 : 964.02 = 354.04 : x
  2. Step 2: Convert to fraction form
    642.40/964.02 = 354.04/x
  3. Step 3: Cross multiply
    642.40x = 964.02 × 354.04
  4. Step 4: Simplify right side
    642.40x = 341,301.64
  5. Step 5: Solve for x
    x = 341,301.64/642.40
  6. Step 6: Final answer
    x = 531.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.