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Finding the Fourth Proportional to 615.32, 923.42 and 307.32

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Solution

The fourth proportional to 615.32, 923.42 and 307.32 is: 461.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.32 : 923.42 = 307.32 : x
  2. Step 2: Convert to fraction form
    615.32/923.42 = 307.32/x
  3. Step 3: Cross multiply
    615.32x = 923.42 × 307.32
  4. Step 4: Simplify right side
    615.32x = 283,785.43
  5. Step 5: Solve for x
    x = 283,785.43/615.32
  6. Step 6: Final answer
    x = 461.20

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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.