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Finding the Fourth Proportional to 424.20, 584.32 and 299.64

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Solution

The fourth proportional to 424.20, 584.32 and 299.64 is: 412.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.20 : 584.32 = 299.64 : x
  2. Step 2: Convert to fraction form
    424.20/584.32 = 299.64/x
  3. Step 3: Cross multiply
    424.20x = 584.32 × 299.64
  4. Step 4: Simplify right side
    424.20x = 175,085.64
  5. Step 5: Solve for x
    x = 175,085.64/424.20
  6. Step 6: Final answer
    x = 412.74

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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.