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Finding the Fourth Proportional to 723.86, 998.62 and 429.07

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Solution

The fourth proportional to 723.86, 998.62 and 429.07 is: 591.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.86 : 998.62 = 429.07 : x
  2. Step 2: Convert to fraction form
    723.86/998.62 = 429.07/x
  3. Step 3: Cross multiply
    723.86x = 998.62 × 429.07
  4. Step 4: Simplify right side
    723.86x = 428,477.88
  5. Step 5: Solve for x
    x = 428,477.88/723.86
  6. Step 6: Final answer
    x = 591.93

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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.