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Finding the Fourth Proportional to 810.57, 1,216.26 and 377.64

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Solution

The fourth proportional to 810.57, 1,216.26 and 377.64 is: 566.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.57 : 1,216.26 = 377.64 : x
  2. Step 2: Convert to fraction form
    810.57/1,216.26 = 377.64/x
  3. Step 3: Cross multiply
    810.57x = 1,216.26 × 377.64
  4. Step 4: Simplify right side
    810.57x = 459,308.43
  5. Step 5: Solve for x
    x = 459,308.43/810.57
  6. Step 6: Final answer
    x = 566.65

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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.