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Finding the Fourth Proportional to 467.57, 701.41 and 405.38

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Solution

The fourth proportional to 467.57, 701.41 and 405.38 is: 608.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.57 : 701.41 = 405.38 : x
  2. Step 2: Convert to fraction form
    467.57/701.41 = 405.38/x
  3. Step 3: Cross multiply
    467.57x = 701.41 × 405.38
  4. Step 4: Simplify right side
    467.57x = 284,337.11
  5. Step 5: Solve for x
    x = 284,337.11/467.57
  6. Step 6: Final answer
    x = 608.11

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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.