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Finding the Fourth Proportional to 500.24, 689.72 and 421.86

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Solution

The fourth proportional to 500.24, 689.72 and 421.86 is: 581.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.24 : 689.72 = 421.86 : x
  2. Step 2: Convert to fraction form
    500.24/689.72 = 421.86/x
  3. Step 3: Cross multiply
    500.24x = 689.72 × 421.86
  4. Step 4: Simplify right side
    500.24x = 290,965.28
  5. Step 5: Solve for x
    x = 290,965.28/500.24
  6. Step 6: Final answer
    x = 581.65

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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.