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Finding the Fourth Proportional to 429.95, 593.31 and 264.14

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Solution

The fourth proportional to 429.95, 593.31 and 264.14 is: 364.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.95 : 593.31 = 264.14 : x
  2. Step 2: Convert to fraction form
    429.95/593.31 = 264.14/x
  3. Step 3: Cross multiply
    429.95x = 593.31 × 264.14
  4. Step 4: Simplify right side
    429.95x = 156,712.62
  5. Step 5: Solve for x
    x = 156,712.62/429.95
  6. Step 6: Final answer
    x = 364.49

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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.