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Finding the Fourth Proportional to 724.05, 998.69 and 429.08

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Solution

The fourth proportional to 724.05, 998.69 and 429.08 is: 591.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.05 : 998.69 = 429.08 : x
  2. Step 2: Convert to fraction form
    724.05/998.69 = 429.08/x
  3. Step 3: Cross multiply
    724.05x = 998.69 × 429.08
  4. Step 4: Simplify right side
    724.05x = 428,510.77
  5. Step 5: Solve for x
    x = 428,510.77/724.05
  6. Step 6: Final answer
    x = 591.82

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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.