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Finding the Fourth Proportional to 469.78, 704.70 and 277

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Solution

The fourth proportional to 469.78, 704.70 and 277 is: 415.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.78 : 704.70 = 277 : x
  2. Step 2: Convert to fraction form
    469.78/704.70 = 277/x
  3. Step 3: Cross multiply
    469.78x = 704.70 × 277
  4. Step 4: Simplify right side
    469.78x = 195,201.90
  5. Step 5: Solve for x
    x = 195,201.90/469.78
  6. Step 6: Final answer
    x = 415.52

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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.