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Finding the Fourth Proportional to 669.48, 923.48 and 429.80

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Solution

The fourth proportional to 669.48, 923.48 and 429.80 is: 592.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.48 : 923.48 = 429.80 : x
  2. Step 2: Convert to fraction form
    669.48/923.48 = 429.80/x
  3. Step 3: Cross multiply
    669.48x = 923.48 × 429.80
  4. Step 4: Simplify right side
    669.48x = 396,911.70
  5. Step 5: Solve for x
    x = 396,911.70/669.48
  6. Step 6: Final answer
    x = 592.87

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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.