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Finding the Fourth Proportional to 472.06, 651.50 and 275.53

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Solution

The fourth proportional to 472.06, 651.50 and 275.53 is: 380.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.06 : 651.50 = 275.53 : x
  2. Step 2: Convert to fraction form
    472.06/651.50 = 275.53/x
  3. Step 3: Cross multiply
    472.06x = 651.50 × 275.53
  4. Step 4: Simplify right side
    472.06x = 179,507.80
  5. Step 5: Solve for x
    x = 179,507.80/472.06
  6. Step 6: Final answer
    x = 380.26

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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.