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Finding the Fourth Proportional to 538.08, 742.33 and 316.95

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Solution

The fourth proportional to 538.08, 742.33 and 316.95 is: 437.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.08 : 742.33 = 316.95 : x
  2. Step 2: Convert to fraction form
    538.08/742.33 = 316.95/x
  3. Step 3: Cross multiply
    538.08x = 742.33 × 316.95
  4. Step 4: Simplify right side
    538.08x = 235,281.49
  5. Step 5: Solve for x
    x = 235,281.49/538.08
  6. Step 6: Final answer
    x = 437.26

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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.