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Finding the Fourth Proportional to 570.70, 787.48 and 349.66

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Solution

The fourth proportional to 570.70, 787.48 and 349.66 is: 482.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.70 : 787.48 = 349.66 : x
  2. Step 2: Convert to fraction form
    570.70/787.48 = 349.66/x
  3. Step 3: Cross multiply
    570.70x = 787.48 × 349.66
  4. Step 4: Simplify right side
    570.70x = 275,350.26
  5. Step 5: Solve for x
    x = 275,350.26/570.70
  6. Step 6: Final answer
    x = 482.48

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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.