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Finding the Fourth Proportional to 316.54, 473.88 and 235.72

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Solution

The fourth proportional to 316.54, 473.88 and 235.72 is: 352.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.54 : 473.88 = 235.72 : x
  2. Step 2: Convert to fraction form
    316.54/473.88 = 235.72/x
  3. Step 3: Cross multiply
    316.54x = 473.88 × 235.72
  4. Step 4: Simplify right side
    316.54x = 111,702.99
  5. Step 5: Solve for x
    x = 111,702.99/316.54
  6. Step 6: Final answer
    x = 352.89

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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.