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Finding the Fourth Proportional to 459.61, 685.87 and 410.33

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Solution

The fourth proportional to 459.61, 685.87 and 410.33 is: 612.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.61 : 685.87 = 410.33 : x
  2. Step 2: Convert to fraction form
    459.61/685.87 = 410.33/x
  3. Step 3: Cross multiply
    459.61x = 685.87 × 410.33
  4. Step 4: Simplify right side
    459.61x = 281,433.73
  5. Step 5: Solve for x
    x = 281,433.73/459.61
  6. Step 6: Final answer
    x = 612.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.