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Finding the Fourth Proportional to 566.88, 844.99 and 504.86

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Solution

The fourth proportional to 566.88, 844.99 and 504.86 is: 752.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.88 : 844.99 = 504.86 : x
  2. Step 2: Convert to fraction form
    566.88/844.99 = 504.86/x
  3. Step 3: Cross multiply
    566.88x = 844.99 × 504.86
  4. Step 4: Simplify right side
    566.88x = 426,601.65
  5. Step 5: Solve for x
    x = 426,601.65/566.88
  6. Step 6: Final answer
    x = 752.54

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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.