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Finding the Fourth Proportional to 472.94, 652.59 and 298.25

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Solution

The fourth proportional to 472.94, 652.59 and 298.25 is: 411.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.94 : 652.59 = 298.25 : x
  2. Step 2: Convert to fraction form
    472.94/652.59 = 298.25/x
  3. Step 3: Cross multiply
    472.94x = 652.59 × 298.25
  4. Step 4: Simplify right side
    472.94x = 194,634.97
  5. Step 5: Solve for x
    x = 194,634.97/472.94
  6. Step 6: Final answer
    x = 411.54

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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.