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Finding the Fourth Proportional to 472.52, 648.57 and 452.47

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Solution

The fourth proportional to 472.52, 648.57 and 452.47 is: 621.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.52 : 648.57 = 452.47 : x
  2. Step 2: Convert to fraction form
    472.52/648.57 = 452.47/x
  3. Step 3: Cross multiply
    472.52x = 648.57 × 452.47
  4. Step 4: Simplify right side
    472.52x = 293,458.47
  5. Step 5: Solve for x
    x = 293,458.47/472.52
  6. Step 6: Final answer
    x = 621.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.