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Finding the Fourth Proportional to 472.16, 651.50 and 275.66

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Solution

The fourth proportional to 472.16, 651.50 and 275.66 is: 380.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.16 : 651.50 = 275.66 : x
  2. Step 2: Convert to fraction form
    472.16/651.50 = 275.66/x
  3. Step 3: Cross multiply
    472.16x = 651.50 × 275.66
  4. Step 4: Simplify right side
    472.16x = 179,592.49
  5. Step 5: Solve for x
    x = 179,592.49/472.16
  6. Step 6: Final answer
    x = 380.36

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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.