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Finding the Fourth Proportional to 666.56, 920.04 and 417.80

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Solution

The fourth proportional to 666.56, 920.04 and 417.80 is: 576.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.56 : 920.04 = 417.80 : x
  2. Step 2: Convert to fraction form
    666.56/920.04 = 417.80/x
  3. Step 3: Cross multiply
    666.56x = 920.04 × 417.80
  4. Step 4: Simplify right side
    666.56x = 384,392.71
  5. Step 5: Solve for x
    x = 384,392.71/666.56
  6. Step 6: Final answer
    x = 576.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.