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Finding the Fourth Proportional to 328.76, 452.30 and 319.65

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Solution

The fourth proportional to 328.76, 452.30 and 319.65 is: 439.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.76 : 452.30 = 319.65 : x
  2. Step 2: Convert to fraction form
    328.76/452.30 = 319.65/x
  3. Step 3: Cross multiply
    328.76x = 452.30 × 319.65
  4. Step 4: Simplify right side
    328.76x = 144,576.10
  5. Step 5: Solve for x
    x = 144,576.10/328.76
  6. Step 6: Final answer
    x = 439.76

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Why These Related Problems?

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