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Finding the Fourth Proportional to 459.30, 689.49 and 425.28

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Solution

The fourth proportional to 459.30, 689.49 and 425.28 is: 638.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.30 : 689.49 = 425.28 : x
  2. Step 2: Convert to fraction form
    459.30/689.49 = 425.28/x
  3. Step 3: Cross multiply
    459.30x = 689.49 × 425.28
  4. Step 4: Simplify right side
    459.30x = 293,226.31
  5. Step 5: Solve for x
    x = 293,226.31/459.30
  6. Step 6: Final answer
    x = 638.42

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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.