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Finding the Fourth Proportional to 319.10, 477.92 and 265.10

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Solution

The fourth proportional to 319.10, 477.92 and 265.10 is: 397.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.10 : 477.92 = 265.10 : x
  2. Step 2: Convert to fraction form
    319.10/477.92 = 265.10/x
  3. Step 3: Cross multiply
    319.10x = 477.92 × 265.10
  4. Step 4: Simplify right side
    319.10x = 126,696.59
  5. Step 5: Solve for x
    x = 126,696.59/319.10
  6. Step 6: Final answer
    x = 397.04

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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.