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Finding the Fourth Proportional to 566.64, 844.68 and 535.86

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Solution

The fourth proportional to 566.64, 844.68 and 535.86 is: 798.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.64 : 844.68 = 535.86 : x
  2. Step 2: Convert to fraction form
    566.64/844.68 = 535.86/x
  3. Step 3: Cross multiply
    566.64x = 844.68 × 535.86
  4. Step 4: Simplify right side
    566.64x = 452,629.22
  5. Step 5: Solve for x
    x = 452,629.22/566.64
  6. Step 6: Final answer
    x = 798.80

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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.