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Finding the Fourth Proportional to 566.08, 850.72 and 527.20

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Solution

The fourth proportional to 566.08, 850.72 and 527.20 is: 792.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.08 : 850.72 = 527.20 : x
  2. Step 2: Convert to fraction form
    566.08/850.72 = 527.20/x
  3. Step 3: Cross multiply
    566.08x = 850.72 × 527.20
  4. Step 4: Simplify right side
    566.08x = 448,499.58
  5. Step 5: Solve for x
    x = 448,499.58/566.08
  6. Step 6: Final answer
    x = 792.29

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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.