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Finding the Fourth Proportional to 724.14, 999.38 and 429.39

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Solution

The fourth proportional to 724.14, 999.38 and 429.39 is: 592.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.14 : 999.38 = 429.39 : x
  2. Step 2: Convert to fraction form
    724.14/999.38 = 429.39/x
  3. Step 3: Cross multiply
    724.14x = 999.38 × 429.39
  4. Step 4: Simplify right side
    724.14x = 429,124.85
  5. Step 5: Solve for x
    x = 429,124.85/724.14
  6. Step 6: Final answer
    x = 592.60

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1.5x scale

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.