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Finding the Fourth Proportional to 570.53, 787.34 and 321.83

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Solution

The fourth proportional to 570.53, 787.34 and 321.83 is: 444.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.53 : 787.34 = 321.83 : x
  2. Step 2: Convert to fraction form
    570.53/787.34 = 321.83/x
  3. Step 3: Cross multiply
    570.53x = 787.34 × 321.83
  4. Step 4: Simplify right side
    570.53x = 253,384.09
  5. Step 5: Solve for x
    x = 253,384.09/570.53
  6. Step 6: Final answer
    x = 444.12

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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.