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Finding the Fourth Proportional to 570.50, 857.26 and 310.69

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Solution

The fourth proportional to 570.50, 857.26 and 310.69 is: 466.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.50 : 857.26 = 310.69 : x
  2. Step 2: Convert to fraction form
    570.50/857.26 = 310.69/x
  3. Step 3: Cross multiply
    570.50x = 857.26 × 310.69
  4. Step 4: Simplify right side
    570.50x = 266,337.82
  5. Step 5: Solve for x
    x = 266,337.82/570.50
  6. Step 6: Final answer
    x = 466.85

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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.