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Finding the Fourth Proportional to 459.90, 689.24 and 344.06

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Solution

The fourth proportional to 459.90, 689.24 and 344.06 is: 515.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.90 : 689.24 = 344.06 : x
  2. Step 2: Convert to fraction form
    459.90/689.24 = 344.06/x
  3. Step 3: Cross multiply
    459.90x = 689.24 × 344.06
  4. Step 4: Simplify right side
    459.90x = 237,139.91
  5. Step 5: Solve for x
    x = 237,139.91/459.90
  6. Step 6: Final answer
    x = 515.63

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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.