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Finding the Fourth Proportional to 724.49, 999.78 and 429.89

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Solution

The fourth proportional to 724.49, 999.78 and 429.89 is: 593.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.49 : 999.78 = 429.89 : x
  2. Step 2: Convert to fraction form
    724.49/999.78 = 429.89/x
  3. Step 3: Cross multiply
    724.49x = 999.78 × 429.89
  4. Step 4: Simplify right side
    724.49x = 429,795.42
  5. Step 5: Solve for x
    x = 429,795.42/724.49
  6. Step 6: Final answer
    x = 593.24

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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.