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Finding the Fourth Proportional to 291.20, 437.60 and 210.48

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Solution

The fourth proportional to 291.20, 437.60 and 210.48 is: 316.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.20 : 437.60 = 210.48 : x
  2. Step 2: Convert to fraction form
    291.20/437.60 = 210.48/x
  3. Step 3: Cross multiply
    291.20x = 437.60 × 210.48
  4. Step 4: Simplify right side
    291.20x = 92,106.05
  5. Step 5: Solve for x
    x = 92,106.05/291.20
  6. Step 6: Final answer
    x = 316.30

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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.