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Finding the Fourth Proportional to 570.78, 787.20 and 349.66

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Solution

The fourth proportional to 570.78, 787.20 and 349.66 is: 482.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.78 : 787.20 = 349.66 : x
  2. Step 2: Convert to fraction form
    570.78/787.20 = 349.66/x
  3. Step 3: Cross multiply
    570.78x = 787.20 × 349.66
  4. Step 4: Simplify right side
    570.78x = 275,252.35
  5. Step 5: Solve for x
    x = 275,252.35/570.78
  6. Step 6: Final answer
    x = 482.24

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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.