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Finding the Fourth Proportional to 570.31, 787.02 and 321.63

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Solution

The fourth proportional to 570.31, 787.02 and 321.63 is: 443.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.31 : 787.02 = 321.63 : x
  2. Step 2: Convert to fraction form
    570.31/787.02 = 321.63/x
  3. Step 3: Cross multiply
    570.31x = 787.02 × 321.63
  4. Step 4: Simplify right side
    570.31x = 253,129.24
  5. Step 5: Solve for x
    x = 253,129.24/570.31
  6. Step 6: Final answer
    x = 443.85

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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.