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Finding the Fourth Proportional to 810.47, 1,215.96 and 262.65

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Solution

The fourth proportional to 810.47, 1,215.96 and 262.65 is: 394.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.47 : 1,215.96 = 262.65 : x
  2. Step 2: Convert to fraction form
    810.47/1,215.96 = 262.65/x
  3. Step 3: Cross multiply
    810.47x = 1,215.96 × 262.65
  4. Step 4: Simplify right side
    810.47x = 319,371.89
  5. Step 5: Solve for x
    x = 319,371.89/810.47
  6. Step 6: Final answer
    x = 394.06

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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.