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Finding the Fourth Proportional to 615.53, 922.31 and 307.08

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Solution

The fourth proportional to 615.53, 922.31 and 307.08 is: 460.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.53 : 922.31 = 307.08 : x
  2. Step 2: Convert to fraction form
    615.53/922.31 = 307.08/x
  3. Step 3: Cross multiply
    615.53x = 922.31 × 307.08
  4. Step 4: Simplify right side
    615.53x = 283,221.42
  5. Step 5: Solve for x
    x = 283,221.42/615.53
  6. Step 6: Final answer
    x = 460.13

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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.