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Finding the Fourth Proportional to 704.98, 1,057.16 and 242.64

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Solution

The fourth proportional to 704.98, 1,057.16 and 242.64 is: 363.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.98 : 1,057.16 = 242.64 : x
  2. Step 2: Convert to fraction form
    704.98/1,057.16 = 242.64/x
  3. Step 3: Cross multiply
    704.98x = 1,057.16 × 242.64
  4. Step 4: Simplify right side
    704.98x = 256,509.30
  5. Step 5: Solve for x
    x = 256,509.30/704.98
  6. Step 6: Final answer
    x = 363.85

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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.