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Finding the Fourth Proportional to 570.67, 787.50 and 346.73

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Solution

The fourth proportional to 570.67, 787.50 and 346.73 is: 478.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.67 : 787.50 = 346.73 : x
  2. Step 2: Convert to fraction form
    570.67/787.50 = 346.73/x
  3. Step 3: Cross multiply
    570.67x = 787.50 × 346.73
  4. Step 4: Simplify right side
    570.67x = 273,049.88
  5. Step 5: Solve for x
    x = 273,049.88/570.67
  6. Step 6: Final answer
    x = 478.47

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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.