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Finding the Fourth Proportional to 459.66, 688.94 and 408.40

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Solution

The fourth proportional to 459.66, 688.94 and 408.40 is: 612.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.66 : 688.94 = 408.40 : x
  2. Step 2: Convert to fraction form
    459.66/688.94 = 408.40/x
  3. Step 3: Cross multiply
    459.66x = 688.94 × 408.40
  4. Step 4: Simplify right side
    459.66x = 281,363.10
  5. Step 5: Solve for x
    x = 281,363.10/459.66
  6. Step 6: Final answer
    x = 612.11

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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.