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Finding the Fourth Proportional to 570.58, 786.85 and 371.19

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Solution

The fourth proportional to 570.58, 786.85 and 371.19 is: 511.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.58 : 786.85 = 371.19 : x
  2. Step 2: Convert to fraction form
    570.58/786.85 = 371.19/x
  3. Step 3: Cross multiply
    570.58x = 786.85 × 371.19
  4. Step 4: Simplify right side
    570.58x = 292,070.85
  5. Step 5: Solve for x
    x = 292,070.85/570.58
  6. Step 6: Final answer
    x = 511.88

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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.