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Finding the Fourth Proportional to 429.98, 593.16 and 272.35

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Solution

The fourth proportional to 429.98, 593.16 and 272.35 is: 375.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.98 : 593.16 = 272.35 : x
  2. Step 2: Convert to fraction form
    429.98/593.16 = 272.35/x
  3. Step 3: Cross multiply
    429.98x = 593.16 × 272.35
  4. Step 4: Simplify right side
    429.98x = 161,545.76
  5. Step 5: Solve for x
    x = 161,545.76/429.98
  6. Step 6: Final answer
    x = 375.71

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Why These Related Problems?

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