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Finding the Fourth Proportional to 565.46, 848.28 and 276.92

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Solution

The fourth proportional to 565.46, 848.28 and 276.92 is: 415.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.46 : 848.28 = 276.92 : x
  2. Step 2: Convert to fraction form
    565.46/848.28 = 276.92/x
  3. Step 3: Cross multiply
    565.46x = 848.28 × 276.92
  4. Step 4: Simplify right side
    565.46x = 234,905.70
  5. Step 5: Solve for x
    x = 234,905.70/565.46
  6. Step 6: Final answer
    x = 415.42

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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.