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Finding the Fourth Proportional to 810.45, 1,215.83 and 290.49

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Solution

The fourth proportional to 810.45, 1,215.83 and 290.49 is: 435.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.45 : 1,215.83 = 290.49 : x
  2. Step 2: Convert to fraction form
    810.45/1,215.83 = 290.49/x
  3. Step 3: Cross multiply
    810.45x = 1,215.83 × 290.49
  4. Step 4: Simplify right side
    810.45x = 353,186.46
  5. Step 5: Solve for x
    x = 353,186.46/810.45
  6. Step 6: Final answer
    x = 435.79

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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.