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Finding the Fourth Proportional to 570.75, 787.95 and 371.80

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Solution

The fourth proportional to 570.75, 787.95 and 371.80 is: 513.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.75 : 787.95 = 371.80 : x
  2. Step 2: Convert to fraction form
    570.75/787.95 = 371.80/x
  3. Step 3: Cross multiply
    570.75x = 787.95 × 371.80
  4. Step 4: Simplify right side
    570.75x = 292,959.81
  5. Step 5: Solve for x
    x = 292,959.81/570.75
  6. Step 6: Final answer
    x = 513.29

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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.