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Finding the Fourth Proportional to 570.88, 855.49 and 310.66

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Solution

The fourth proportional to 570.88, 855.49 and 310.66 is: 465.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.88 : 855.49 = 310.66 : x
  2. Step 2: Convert to fraction form
    570.88/855.49 = 310.66/x
  3. Step 3: Cross multiply
    570.88x = 855.49 × 310.66
  4. Step 4: Simplify right side
    570.88x = 265,766.52
  5. Step 5: Solve for x
    x = 265,766.52/570.88
  6. Step 6: Final answer
    x = 465.54

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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.