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Finding the Fourth Proportional to 296.34, 442.31 and 261.74

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Solution

The fourth proportional to 296.34, 442.31 and 261.74 is: 390.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.34 : 442.31 = 261.74 : x
  2. Step 2: Convert to fraction form
    296.34/442.31 = 261.74/x
  3. Step 3: Cross multiply
    296.34x = 442.31 × 261.74
  4. Step 4: Simplify right side
    296.34x = 115,770.22
  5. Step 5: Solve for x
    x = 115,770.22/296.34
  6. Step 6: Final answer
    x = 390.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.