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Finding the Fourth Proportional to 429.59, 593.16 and 342.65

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Solution

The fourth proportional to 429.59, 593.16 and 342.65 is: 473.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.59 : 593.16 = 342.65 : x
  2. Step 2: Convert to fraction form
    429.59/593.16 = 342.65/x
  3. Step 3: Cross multiply
    429.59x = 593.16 × 342.65
  4. Step 4: Simplify right side
    429.59x = 203,246.27
  5. Step 5: Solve for x
    x = 203,246.27/429.59
  6. Step 6: Final answer
    x = 473.12

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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.