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Finding the Fourth Proportional to 337.84, 508.60 and 230.32

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Solution

The fourth proportional to 337.84, 508.60 and 230.32 is: 346.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.84 : 508.60 = 230.32 : x
  2. Step 2: Convert to fraction form
    337.84/508.60 = 230.32/x
  3. Step 3: Cross multiply
    337.84x = 508.60 × 230.32
  4. Step 4: Simplify right side
    337.84x = 117,139.60
  5. Step 5: Solve for x
    x = 117,139.60/337.84
  6. Step 6: Final answer
    x = 346.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.