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Finding the Fourth Proportional to 316.74, 475.95 and 235.32

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Solution

The fourth proportional to 316.74, 475.95 and 235.32 is: 353.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.74 : 475.95 = 235.32 : x
  2. Step 2: Convert to fraction form
    316.74/475.95 = 235.32/x
  3. Step 3: Cross multiply
    316.74x = 475.95 × 235.32
  4. Step 4: Simplify right side
    316.74x = 112,000.55
  5. Step 5: Solve for x
    x = 112,000.55/316.74
  6. Step 6: Final answer
    x = 353.60

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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.