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Finding the Fourth Proportional to 370.08, 511.12 and 337.68

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Solution

The fourth proportional to 370.08, 511.12 and 337.68 is: 466.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.08 : 511.12 = 337.68 : x
  2. Step 2: Convert to fraction form
    370.08/511.12 = 337.68/x
  3. Step 3: Cross multiply
    370.08x = 511.12 × 337.68
  4. Step 4: Simplify right side
    370.08x = 172,595.00
  5. Step 5: Solve for x
    x = 172,595.00/370.08
  6. Step 6: Final answer
    x = 466.37

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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.