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Finding the Fourth Proportional to 615.49, 922.96 and 230.47

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Solution

The fourth proportional to 615.49, 922.96 and 230.47 is: 345.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.49 : 922.96 = 230.47 : x
  2. Step 2: Convert to fraction form
    615.49/922.96 = 230.47/x
  3. Step 3: Cross multiply
    615.49x = 922.96 × 230.47
  4. Step 4: Simplify right side
    615.49x = 212,714.01
  5. Step 5: Solve for x
    x = 212,714.01/615.49
  6. Step 6: Final answer
    x = 345.60

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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.