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Finding the Fourth Proportional to 472.85, 651.87 and 332.54

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Solution

The fourth proportional to 472.85, 651.87 and 332.54 is: 458.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.85 : 651.87 = 332.54 : x
  2. Step 2: Convert to fraction form
    472.85/651.87 = 332.54/x
  3. Step 3: Cross multiply
    472.85x = 651.87 × 332.54
  4. Step 4: Simplify right side
    472.85x = 216,772.85
  5. Step 5: Solve for x
    x = 216,772.85/472.85
  6. Step 6: Final answer
    x = 458.44

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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.