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Finding the Fourth Proportional to 356.67, 535.12 and 319.88

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Solution

The fourth proportional to 356.67, 535.12 and 319.88 is: 479.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.67 : 535.12 = 319.88 : x
  2. Step 2: Convert to fraction form
    356.67/535.12 = 319.88/x
  3. Step 3: Cross multiply
    356.67x = 535.12 × 319.88
  4. Step 4: Simplify right side
    356.67x = 171,171.71
  5. Step 5: Solve for x
    x = 171,171.71/356.67
  6. Step 6: Final answer
    x = 479.91

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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.