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Finding the Fourth Proportional to 810.26, 1,216.21 and 348.31

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Solution

The fourth proportional to 810.26, 1,216.21 and 348.31 is: 522.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.26 : 1,216.21 = 348.31 : x
  2. Step 2: Convert to fraction form
    810.26/1,216.21 = 348.31/x
  3. Step 3: Cross multiply
    810.26x = 1,216.21 × 348.31
  4. Step 4: Simplify right side
    810.26x = 423,618.11
  5. Step 5: Solve for x
    x = 423,618.11/810.26
  6. Step 6: Final answer
    x = 522.82

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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.