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Finding the Fourth Proportional to 570.78, 855.48 and 278.43

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Solution

The fourth proportional to 570.78, 855.48 and 278.43 is: 417.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.78 : 855.48 = 278.43 : x
  2. Step 2: Convert to fraction form
    570.78/855.48 = 278.43/x
  3. Step 3: Cross multiply
    570.78x = 855.48 × 278.43
  4. Step 4: Simplify right side
    570.78x = 238,191.30
  5. Step 5: Solve for x
    x = 238,191.30/570.78
  6. Step 6: Final answer
    x = 417.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.