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Finding the Fourth Proportional to 459.72, 686.20 and 405.04

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Solution

The fourth proportional to 459.72, 686.20 and 405.04 is: 604.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.72 : 686.20 = 405.04 : x
  2. Step 2: Convert to fraction form
    459.72/686.20 = 405.04/x
  3. Step 3: Cross multiply
    459.72x = 686.20 × 405.04
  4. Step 4: Simplify right side
    459.72x = 277,938.45
  5. Step 5: Solve for x
    x = 277,938.45/459.72
  6. Step 6: Final answer
    x = 604.58

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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.