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Finding the Fourth Proportional to 305.57, 457.88 and 284.85

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Solution

The fourth proportional to 305.57, 457.88 and 284.85 is: 426.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.57 : 457.88 = 284.85 : x
  2. Step 2: Convert to fraction form
    305.57/457.88 = 284.85/x
  3. Step 3: Cross multiply
    305.57x = 457.88 × 284.85
  4. Step 4: Simplify right side
    305.57x = 130,425.69
  5. Step 5: Solve for x
    x = 130,425.69/305.57
  6. Step 6: Final answer
    x = 426.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.