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Finding the Fourth Proportional to 429.82, 593.65 and 289.70

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Solution

The fourth proportional to 429.82, 593.65 and 289.70 is: 400.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.82 : 593.65 = 289.70 : x
  2. Step 2: Convert to fraction form
    429.82/593.65 = 289.70/x
  3. Step 3: Cross multiply
    429.82x = 593.65 × 289.70
  4. Step 4: Simplify right side
    429.82x = 171,978.95
  5. Step 5: Solve for x
    x = 171,978.95/429.82
  6. Step 6: Final answer
    x = 400.11

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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.