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Finding the Fourth Proportional to 570.57, 787.07 and 346.37

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Solution

The fourth proportional to 570.57, 787.07 and 346.37 is: 477.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.57 : 787.07 = 346.37 : x
  2. Step 2: Convert to fraction form
    570.57/787.07 = 346.37/x
  3. Step 3: Cross multiply
    570.57x = 787.07 × 346.37
  4. Step 4: Simplify right side
    570.57x = 272,611.77
  5. Step 5: Solve for x
    x = 272,611.77/570.57
  6. Step 6: Final answer
    x = 477.79

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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.