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Finding the Fourth Proportional to 615.16, 922.47 and 432.64

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Solution

The fourth proportional to 615.16, 922.47 and 432.64 is: 648.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.16 : 922.47 = 432.64 : x
  2. Step 2: Convert to fraction form
    615.16/922.47 = 432.64/x
  3. Step 3: Cross multiply
    615.16x = 922.47 × 432.64
  4. Step 4: Simplify right side
    615.16x = 399,097.42
  5. Step 5: Solve for x
    x = 399,097.42/615.16
  6. Step 6: Final answer
    x = 648.77

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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.