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Finding the Fourth Proportional to 429.65, 592.43 and 406.56

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Solution

The fourth proportional to 429.65, 592.43 and 406.56 is: 560.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.65 : 592.43 = 406.56 : x
  2. Step 2: Convert to fraction form
    429.65/592.43 = 406.56/x
  3. Step 3: Cross multiply
    429.65x = 592.43 × 406.56
  4. Step 4: Simplify right side
    429.65x = 240,858.34
  5. Step 5: Solve for x
    x = 240,858.34/429.65
  6. Step 6: Final answer
    x = 560.59

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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.