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Finding the Fourth Proportional to 426.24, 588.32 and 295.20

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Solution

The fourth proportional to 426.24, 588.32 and 295.20 is: 407.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.24 : 588.32 = 295.20 : x
  2. Step 2: Convert to fraction form
    426.24/588.32 = 295.20/x
  3. Step 3: Cross multiply
    426.24x = 588.32 × 295.20
  4. Step 4: Simplify right side
    426.24x = 173,672.06
  5. Step 5: Solve for x
    x = 173,672.06/426.24
  6. Step 6: Final answer
    x = 407.45

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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.