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Finding the Fourth Proportional to 642.02, 962.62 and 353.66

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Solution

The fourth proportional to 642.02, 962.62 and 353.66 is: 530.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.02 : 962.62 = 353.66 : x
  2. Step 2: Convert to fraction form
    642.02/962.62 = 353.66/x
  3. Step 3: Cross multiply
    642.02x = 962.62 × 353.66
  4. Step 4: Simplify right side
    642.02x = 340,434.49
  5. Step 5: Solve for x
    x = 340,434.49/642.02
  6. Step 6: Final answer
    x = 530.26

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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.