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Finding the Fourth Proportional to 459.10, 688.20 and 410.13

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Solution

The fourth proportional to 459.10, 688.20 and 410.13 is: 614.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.10 : 688.20 = 410.13 : x
  2. Step 2: Convert to fraction form
    459.10/688.20 = 410.13/x
  3. Step 3: Cross multiply
    459.10x = 688.20 × 410.13
  4. Step 4: Simplify right side
    459.10x = 282,249.93
  5. Step 5: Solve for x
    x = 282,249.93/459.10
  6. Step 6: Final answer
    x = 614.79

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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.