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Finding the Fourth Proportional to 469.83, 704.46 and 250.20

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Solution

The fourth proportional to 469.83, 704.46 and 250.20 is: 375.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.83 : 704.46 = 250.20 : x
  2. Step 2: Convert to fraction form
    469.83/704.46 = 250.20/x
  3. Step 3: Cross multiply
    469.83x = 704.46 × 250.20
  4. Step 4: Simplify right side
    469.83x = 176,255.89
  5. Step 5: Solve for x
    x = 176,255.89/469.83
  6. Step 6: Final answer
    x = 375.15

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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.