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Finding the Fourth Proportional to 666.48, 999.72 and 301.71

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Solution

The fourth proportional to 666.48, 999.72 and 301.71 is: 452.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.48 : 999.72 = 301.71 : x
  2. Step 2: Convert to fraction form
    666.48/999.72 = 301.71/x
  3. Step 3: Cross multiply
    666.48x = 999.72 × 301.71
  4. Step 4: Simplify right side
    666.48x = 301,625.52
  5. Step 5: Solve for x
    x = 301,625.52/666.48
  6. Step 6: Final answer
    x = 452.57

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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.