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Finding the Fourth Proportional to 810.27, 1,215.59 and 377.46

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Solution

The fourth proportional to 810.27, 1,215.59 and 377.46 is: 566.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.27 : 1,215.59 = 377.46 : x
  2. Step 2: Convert to fraction form
    810.27/1,215.59 = 377.46/x
  3. Step 3: Cross multiply
    810.27x = 1,215.59 × 377.46
  4. Step 4: Simplify right side
    810.27x = 458,834.71
  5. Step 5: Solve for x
    x = 458,834.71/810.27
  6. Step 6: Final answer
    x = 566.27

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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.