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Finding the Fourth Proportional to 425.20, 586.28 and 300.46

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Solution

The fourth proportional to 425.20, 586.28 and 300.46 is: 414.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.20 : 586.28 = 300.46 : x
  2. Step 2: Convert to fraction form
    425.20/586.28 = 300.46/x
  3. Step 3: Cross multiply
    425.20x = 586.28 × 300.46
  4. Step 4: Simplify right side
    425.20x = 176,152.97
  5. Step 5: Solve for x
    x = 176,152.97/425.20
  6. Step 6: Final answer
    x = 414.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.