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Finding the Fourth Proportional to 472.55, 652.10 and 276.08

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Solution

The fourth proportional to 472.55, 652.10 and 276.08 is: 380.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.55 : 652.10 = 276.08 : x
  2. Step 2: Convert to fraction form
    472.55/652.10 = 276.08/x
  3. Step 3: Cross multiply
    472.55x = 652.10 × 276.08
  4. Step 4: Simplify right side
    472.55x = 180,027.13
  5. Step 5: Solve for x
    x = 180,027.13/472.55
  6. Step 6: Final answer
    x = 380.97

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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.