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Finding the Fourth Proportional to 666.32, 919.28 and 404.24

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Solution

The fourth proportional to 666.32, 919.28 and 404.24 is: 557.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.32 : 919.28 = 404.24 : x
  2. Step 2: Convert to fraction form
    666.32/919.28 = 404.24/x
  3. Step 3: Cross multiply
    666.32x = 919.28 × 404.24
  4. Step 4: Simplify right side
    666.32x = 371,609.75
  5. Step 5: Solve for x
    x = 371,609.75/666.32
  6. Step 6: Final answer
    x = 557.70

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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.