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Finding the Fourth Proportional to 570.78, 787.96 and 349.85

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Solution

The fourth proportional to 570.78, 787.96 and 349.85 is: 482.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.78 : 787.96 = 349.85 : x
  2. Step 2: Convert to fraction form
    570.78/787.96 = 349.85/x
  3. Step 3: Cross multiply
    570.78x = 787.96 × 349.85
  4. Step 4: Simplify right side
    570.78x = 275,670.21
  5. Step 5: Solve for x
    x = 275,670.21/570.78
  6. Step 6: Final answer
    x = 482.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.