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Finding the Fourth Proportional to 374.24, 559.68 and 319.52

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Solution

The fourth proportional to 374.24, 559.68 and 319.52 is: 477.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.24 : 559.68 = 319.52 : x
  2. Step 2: Convert to fraction form
    374.24/559.68 = 319.52/x
  3. Step 3: Cross multiply
    374.24x = 559.68 × 319.52
  4. Step 4: Simplify right side
    374.24x = 178,828.95
  5. Step 5: Solve for x
    x = 178,828.95/374.24
  6. Step 6: Final answer
    x = 477.85

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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.