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Finding the Fourth Proportional to 570.92, 787.94 and 349.90

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Solution

The fourth proportional to 570.92, 787.94 and 349.90 is: 482.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.92 : 787.94 = 349.90 : x
  2. Step 2: Convert to fraction form
    570.92/787.94 = 349.90/x
  3. Step 3: Cross multiply
    570.92x = 787.94 × 349.90
  4. Step 4: Simplify right side
    570.92x = 275,700.21
  5. Step 5: Solve for x
    x = 275,700.21/570.92
  6. Step 6: Final answer
    x = 482.91

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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.