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Finding the Fourth Proportional to 565.29, 848.25 and 276.75

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Solution

The fourth proportional to 565.29, 848.25 and 276.75 is: 415.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.29 : 848.25 = 276.75 : x
  2. Step 2: Convert to fraction form
    565.29/848.25 = 276.75/x
  3. Step 3: Cross multiply
    565.29x = 848.25 × 276.75
  4. Step 4: Simplify right side
    565.29x = 234,753.19
  5. Step 5: Solve for x
    x = 234,753.19/565.29
  6. Step 6: Final answer
    x = 415.28

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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.