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Finding the Fourth Proportional to 423.24, 584.10 and 292.20

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Solution

The fourth proportional to 423.24, 584.10 and 292.20 is: 403.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.24 : 584.10 = 292.20 : x
  2. Step 2: Convert to fraction form
    423.24/584.10 = 292.20/x
  3. Step 3: Cross multiply
    423.24x = 584.10 × 292.20
  4. Step 4: Simplify right side
    423.24x = 170,674.02
  5. Step 5: Solve for x
    x = 170,674.02/423.24
  6. Step 6: Final answer
    x = 403.26

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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.