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Finding the Fourth Proportional to 500.13, 689.49 and 334.26

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Solution

The fourth proportional to 500.13, 689.49 and 334.26 is: 460.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.13 : 689.49 = 334.26 : x
  2. Step 2: Convert to fraction form
    500.13/689.49 = 334.26/x
  3. Step 3: Cross multiply
    500.13x = 689.49 × 334.26
  4. Step 4: Simplify right side
    500.13x = 230,468.93
  5. Step 5: Solve for x
    x = 230,468.93/500.13
  6. Step 6: Final answer
    x = 460.82

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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.