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Finding the Fourth Proportional to 330.98, 456.57 and 307.52

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Solution

The fourth proportional to 330.98, 456.57 and 307.52 is: 424.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.98 : 456.57 = 307.52 : x
  2. Step 2: Convert to fraction form
    330.98/456.57 = 307.52/x
  3. Step 3: Cross multiply
    330.98x = 456.57 × 307.52
  4. Step 4: Simplify right side
    330.98x = 140,402.12
  5. Step 5: Solve for x
    x = 140,402.12/330.98
  6. Step 6: Final answer
    x = 424.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.