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Finding the Fourth Proportional to 370.44, 554.35 and 319.68

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Solution

The fourth proportional to 370.44, 554.35 and 319.68 is: 478.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.44 : 554.35 = 319.68 : x
  2. Step 2: Convert to fraction form
    370.44/554.35 = 319.68/x
  3. Step 3: Cross multiply
    370.44x = 554.35 × 319.68
  4. Step 4: Simplify right side
    370.44x = 177,214.61
  5. Step 5: Solve for x
    x = 177,214.61/370.44
  6. Step 6: Final answer
    x = 478.39

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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.