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Finding the Fourth Proportional to 666.68, 920.13 and 404.87

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Solution

The fourth proportional to 666.68, 920.13 and 404.87 is: 558.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.68 : 920.13 = 404.87 : x
  2. Step 2: Convert to fraction form
    666.68/920.13 = 404.87/x
  3. Step 3: Cross multiply
    666.68x = 920.13 × 404.87
  4. Step 4: Simplify right side
    666.68x = 372,533.03
  5. Step 5: Solve for x
    x = 372,533.03/666.68
  6. Step 6: Final answer
    x = 558.79

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1.5x scale

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.