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Finding the Fourth Proportional to 348.60, 521.40 and 312.30

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Solution

The fourth proportional to 348.60, 521.40 and 312.30 is: 467.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.60 : 521.40 = 312.30 : x
  2. Step 2: Convert to fraction form
    348.60/521.40 = 312.30/x
  3. Step 3: Cross multiply
    348.60x = 521.40 × 312.30
  4. Step 4: Simplify right side
    348.60x = 162,833.22
  5. Step 5: Solve for x
    x = 162,833.22/348.60
  6. Step 6: Final answer
    x = 467.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.