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Finding the Fourth Proportional to 316.40, 435.66 and 237.83

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Solution

The fourth proportional to 316.40, 435.66 and 237.83 is: 327.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.40 : 435.66 = 237.83 : x
  2. Step 2: Convert to fraction form
    316.40/435.66 = 237.83/x
  3. Step 3: Cross multiply
    316.40x = 435.66 × 237.83
  4. Step 4: Simplify right side
    316.40x = 103,613.02
  5. Step 5: Solve for x
    x = 103,613.02/316.40
  6. Step 6: Final answer
    x = 327.47

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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.