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Finding the Fourth Proportional to 472.35, 651.76 and 295.28

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Solution

The fourth proportional to 472.35, 651.76 and 295.28 is: 407.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.35 : 651.76 = 295.28 : x
  2. Step 2: Convert to fraction form
    472.35/651.76 = 295.28/x
  3. Step 3: Cross multiply
    472.35x = 651.76 × 295.28
  4. Step 4: Simplify right side
    472.35x = 192,451.25
  5. Step 5: Solve for x
    x = 192,451.25/472.35
  6. Step 6: Final answer
    x = 407.43

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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.