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Finding the Fourth Proportional to 459.60, 689.40 and 337.20

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Solution

The fourth proportional to 459.60, 689.40 and 337.20 is: 505.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.60 : 689.40 = 337.20 : x
  2. Step 2: Convert to fraction form
    459.60/689.40 = 337.20/x
  3. Step 3: Cross multiply
    459.60x = 689.40 × 337.20
  4. Step 4: Simplify right side
    459.60x = 232,465.68
  5. Step 5: Solve for x
    x = 232,465.68/459.60
  6. Step 6: Final answer
    x = 505.80

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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.