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Finding the Fourth Proportional to 472.50, 652.09 and 265.54

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Solution

The fourth proportional to 472.50, 652.09 and 265.54 is: 366.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.50 : 652.09 = 265.54 : x
  2. Step 2: Convert to fraction form
    472.50/652.09 = 265.54/x
  3. Step 3: Cross multiply
    472.50x = 652.09 × 265.54
  4. Step 4: Simplify right side
    472.50x = 173,155.98
  5. Step 5: Solve for x
    x = 173,155.98/472.50
  6. Step 6: Final answer
    x = 366.47

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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.