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Finding the Fourth Proportional to 317.39, 434.22 and 316.02

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Solution

The fourth proportional to 317.39, 434.22 and 316.02 is: 432.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.39 : 434.22 = 316.02 : x
  2. Step 2: Convert to fraction form
    317.39/434.22 = 316.02/x
  3. Step 3: Cross multiply
    317.39x = 434.22 × 316.02
  4. Step 4: Simplify right side
    317.39x = 137,222.20
  5. Step 5: Solve for x
    x = 137,222.20/317.39
  6. Step 6: Final answer
    x = 432.35

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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.