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Finding the Fourth Proportional to 486.22, 666.61 and 477.46

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Solution

The fourth proportional to 486.22, 666.61 and 477.46 is: 654.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.22 : 666.61 = 477.46 : x
  2. Step 2: Convert to fraction form
    486.22/666.61 = 477.46/x
  3. Step 3: Cross multiply
    486.22x = 666.61 × 477.46
  4. Step 4: Simplify right side
    486.22x = 318,279.61
  5. Step 5: Solve for x
    x = 318,279.61/486.22
  6. Step 6: Final answer
    x = 654.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.