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Finding the Fourth Proportional to 642.02, 962.18 and 349.64

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Solution

The fourth proportional to 642.02, 962.18 and 349.64 is: 524.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.02 : 962.18 = 349.64 : x
  2. Step 2: Convert to fraction form
    642.02/962.18 = 349.64/x
  3. Step 3: Cross multiply
    642.02x = 962.18 × 349.64
  4. Step 4: Simplify right side
    642.02x = 336,414.98
  5. Step 5: Solve for x
    x = 336,414.98/642.02
  6. Step 6: Final answer
    x = 524.00

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