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Finding the Fourth Proportional to 642.09, 962.64 and 436.74

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Solution

The fourth proportional to 642.09, 962.64 and 436.74 is: 654.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.09 : 962.64 = 436.74 : x
  2. Step 2: Convert to fraction form
    642.09/962.64 = 436.74/x
  3. Step 3: Cross multiply
    642.09x = 962.64 × 436.74
  4. Step 4: Simplify right side
    642.09x = 420,423.39
  5. Step 5: Solve for x
    x = 420,423.39/642.09
  6. Step 6: Final answer
    x = 654.77

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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.