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Finding the Fourth Proportional to 601.12, 829.31 and 424.34

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Solution

The fourth proportional to 601.12, 829.31 and 424.34 is: 585.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.12 : 829.31 = 424.34 : x
  2. Step 2: Convert to fraction form
    601.12/829.31 = 424.34/x
  3. Step 3: Cross multiply
    601.12x = 829.31 × 424.34
  4. Step 4: Simplify right side
    601.12x = 351,909.83
  5. Step 5: Solve for x
    x = 351,909.83/601.12
  6. Step 6: Final answer
    x = 585.42

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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.