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Finding the Fourth Proportional to 337.59, 508.22 and 230.07

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Solution

The fourth proportional to 337.59, 508.22 and 230.07 is: 346.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.59 : 508.22 = 230.07 : x
  2. Step 2: Convert to fraction form
    337.59/508.22 = 230.07/x
  3. Step 3: Cross multiply
    337.59x = 508.22 × 230.07
  4. Step 4: Simplify right side
    337.59x = 116,926.75
  5. Step 5: Solve for x
    x = 116,926.75/337.59
  6. Step 6: Final answer
    x = 346.36

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Why These Related Problems?

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