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Finding the Fourth Proportional to 723.94, 999.29 and 429.46

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Solution

The fourth proportional to 723.94, 999.29 and 429.46 is: 592.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.94 : 999.29 = 429.46 : x
  2. Step 2: Convert to fraction form
    723.94/999.29 = 429.46/x
  3. Step 3: Cross multiply
    723.94x = 999.29 × 429.46
  4. Step 4: Simplify right side
    723.94x = 429,155.08
  5. Step 5: Solve for x
    x = 429,155.08/723.94
  6. Step 6: Final answer
    x = 592.80

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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.