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Finding the Fourth Proportional to 314.76, 471.09 and 230.91

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Solution

The fourth proportional to 314.76, 471.09 and 230.91 is: 345.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.76 : 471.09 = 230.91 : x
  2. Step 2: Convert to fraction form
    314.76/471.09 = 230.91/x
  3. Step 3: Cross multiply
    314.76x = 471.09 × 230.91
  4. Step 4: Simplify right side
    314.76x = 108,779.39
  5. Step 5: Solve for x
    x = 108,779.39/314.76
  6. Step 6: Final answer
    x = 345.59

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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.