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Finding the Fourth Proportional to 472.66, 709.35 and 198.88

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Solution

The fourth proportional to 472.66, 709.35 and 198.88 is: 298.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.66 : 709.35 = 198.88 : x
  2. Step 2: Convert to fraction form
    472.66/709.35 = 198.88/x
  3. Step 3: Cross multiply
    472.66x = 709.35 × 198.88
  4. Step 4: Simplify right side
    472.66x = 141,075.53
  5. Step 5: Solve for x
    x = 141,075.53/472.66
  6. Step 6: Final answer
    x = 298.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.