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Finding the Fourth Proportional to 429.86, 593.01 and 264.01

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Solution

The fourth proportional to 429.86, 593.01 and 264.01 is: 364.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.86 : 593.01 = 264.01 : x
  2. Step 2: Convert to fraction form
    429.86/593.01 = 264.01/x
  3. Step 3: Cross multiply
    429.86x = 593.01 × 264.01
  4. Step 4: Simplify right side
    429.86x = 156,560.57
  5. Step 5: Solve for x
    x = 156,560.57/429.86
  6. Step 6: Final answer
    x = 364.21

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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.