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Finding the Fourth Proportional to 570.38, 787.04 and 321.70

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Solution

The fourth proportional to 570.38, 787.04 and 321.70 is: 443.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.38 : 787.04 = 321.70 : x
  2. Step 2: Convert to fraction form
    570.38/787.04 = 321.70/x
  3. Step 3: Cross multiply
    570.38x = 787.04 × 321.70
  4. Step 4: Simplify right side
    570.38x = 253,190.77
  5. Step 5: Solve for x
    x = 253,190.77/570.38
  6. Step 6: Final answer
    x = 443.90

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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.