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Finding the Fourth Proportional to 441.30, 662.08 and 152.76

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Solution

The fourth proportional to 441.30, 662.08 and 152.76 is: 229.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.30 : 662.08 = 152.76 : x
  2. Step 2: Convert to fraction form
    441.30/662.08 = 152.76/x
  3. Step 3: Cross multiply
    441.30x = 662.08 × 152.76
  4. Step 4: Simplify right side
    441.30x = 101,139.34
  5. Step 5: Solve for x
    x = 101,139.34/441.30
  6. Step 6: Final answer
    x = 229.19

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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.