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Finding the Fourth Proportional to 810.62, 1,215.94 and 233.50

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Solution

The fourth proportional to 810.62, 1,215.94 and 233.50 is: 350.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.62 : 1,215.94 = 233.50 : x
  2. Step 2: Convert to fraction form
    810.62/1,215.94 = 233.50/x
  3. Step 3: Cross multiply
    810.62x = 1,215.94 × 233.50
  4. Step 4: Simplify right side
    810.62x = 283,921.99
  5. Step 5: Solve for x
    x = 283,921.99/810.62
  6. Step 6: Final answer
    x = 350.25

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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.