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Finding the Fourth Proportional to 565.70, 844.73 and 559.67

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Solution

The fourth proportional to 565.70, 844.73 and 559.67 is: 835.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.70 : 844.73 = 559.67 : x
  2. Step 2: Convert to fraction form
    565.70/844.73 = 559.67/x
  3. Step 3: Cross multiply
    565.70x = 844.73 × 559.67
  4. Step 4: Simplify right side
    565.70x = 472,765.12
  5. Step 5: Solve for x
    x = 472,765.12/565.70
  6. Step 6: Final answer
    x = 835.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.