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Finding the Fourth Proportional to 425.76, 587.28 and 294.80

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Solution

The fourth proportional to 425.76, 587.28 and 294.80 is: 406.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.76 : 587.28 = 294.80 : x
  2. Step 2: Convert to fraction form
    425.76/587.28 = 294.80/x
  3. Step 3: Cross multiply
    425.76x = 587.28 × 294.80
  4. Step 4: Simplify right side
    425.76x = 173,130.14
  5. Step 5: Solve for x
    x = 173,130.14/425.76
  6. Step 6: Final answer
    x = 406.64

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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.