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Finding the Fourth Proportional to 472.44, 651.90 and 297.75

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Solution

The fourth proportional to 472.44, 651.90 and 297.75 is: 410.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.44 : 651.90 = 297.75 : x
  2. Step 2: Convert to fraction form
    472.44/651.90 = 297.75/x
  3. Step 3: Cross multiply
    472.44x = 651.90 × 297.75
  4. Step 4: Simplify right side
    472.44x = 194,103.23
  5. Step 5: Solve for x
    x = 194,103.23/472.44
  6. Step 6: Final answer
    x = 410.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.