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Finding the Fourth Proportional to 499.34, 689.27 and 429.11

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Solution

The fourth proportional to 499.34, 689.27 and 429.11 is: 592.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.34 : 689.27 = 429.11 : x
  2. Step 2: Convert to fraction form
    499.34/689.27 = 429.11/x
  3. Step 3: Cross multiply
    499.34x = 689.27 × 429.11
  4. Step 4: Simplify right side
    499.34x = 295,772.65
  5. Step 5: Solve for x
    x = 295,772.65/499.34
  6. Step 6: Final answer
    x = 592.33

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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.