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Finding the Fourth Proportional to 316.80, 434.52 and 316.80

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Solution

The fourth proportional to 316.80, 434.52 and 316.80 is: 434.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.80 : 434.52 = 316.80 : x
  2. Step 2: Convert to fraction form
    316.80/434.52 = 316.80/x
  3. Step 3: Cross multiply
    316.80x = 434.52 × 316.80
  4. Step 4: Simplify right side
    316.80x = 137,655.94
  5. Step 5: Solve for x
    x = 137,655.94/316.80
  6. Step 6: Final answer
    x = 434.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.