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Finding the Fourth Proportional to 472.56, 652.32 and 298.16

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Solution

The fourth proportional to 472.56, 652.32 and 298.16 is: 411.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.56 : 652.32 = 298.16 : x
  2. Step 2: Convert to fraction form
    472.56/652.32 = 298.16/x
  3. Step 3: Cross multiply
    472.56x = 652.32 × 298.16
  4. Step 4: Simplify right side
    472.56x = 194,495.73
  5. Step 5: Solve for x
    x = 194,495.73/472.56
  6. Step 6: Final answer
    x = 411.58

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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.