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Finding the Fourth Proportional to 472.80, 652.56 and 298.32

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Solution

The fourth proportional to 472.80, 652.56 and 298.32 is: 411.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.80 : 652.56 = 298.32 : x
  2. Step 2: Convert to fraction form
    472.80/652.56 = 298.32/x
  3. Step 3: Cross multiply
    472.80x = 652.56 × 298.32
  4. Step 4: Simplify right side
    472.80x = 194,671.70
  5. Step 5: Solve for x
    x = 194,671.70/472.80
  6. Step 6: Final answer
    x = 411.74

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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.