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Finding the Fourth Proportional to 459.26, 689.24 and 337.86

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Solution

The fourth proportional to 459.26, 689.24 and 337.86 is: 507.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.26 : 689.24 = 337.86 : x
  2. Step 2: Convert to fraction form
    459.26/689.24 = 337.86/x
  3. Step 3: Cross multiply
    459.26x = 689.24 × 337.86
  4. Step 4: Simplify right side
    459.26x = 232,866.63
  5. Step 5: Solve for x
    x = 232,866.63/459.26
  6. Step 6: Final answer
    x = 507.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.