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Finding the Fourth Proportional to 642.60, 964.20 and 368.92

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Solution

The fourth proportional to 642.60, 964.20 and 368.92 is: 553.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.60 : 964.20 = 368.92 : x
  2. Step 2: Convert to fraction form
    642.60/964.20 = 368.92/x
  3. Step 3: Cross multiply
    642.60x = 964.20 × 368.92
  4. Step 4: Simplify right side
    642.60x = 355,715.25
  5. Step 5: Solve for x
    x = 355,715.25/642.60
  6. Step 6: Final answer
    x = 553.56

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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.