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Finding the Fourth Proportional to 666.60, 920.07 and 404.57

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Solution

The fourth proportional to 666.60, 920.07 and 404.57 is: 558.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.60 : 920.07 = 404.57 : x
  2. Step 2: Convert to fraction form
    666.60/920.07 = 404.57/x
  3. Step 3: Cross multiply
    666.60x = 920.07 × 404.57
  4. Step 4: Simplify right side
    666.60x = 372,226.10
  5. Step 5: Solve for x
    x = 372,226.10/666.60
  6. Step 6: Final answer
    x = 558.39

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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.