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Finding the Fourth Proportional to 348.96, 521.31 and 260.70

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Solution

The fourth proportional to 348.96, 521.31 and 260.70 is: 389.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.96 : 521.31 = 260.70 : x
  2. Step 2: Convert to fraction form
    348.96/521.31 = 260.70/x
  3. Step 3: Cross multiply
    348.96x = 521.31 × 260.70
  4. Step 4: Simplify right side
    348.96x = 135,905.52
  5. Step 5: Solve for x
    x = 135,905.52/348.96
  6. Step 6: Final answer
    x = 389.46

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