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Finding the Fourth Proportional to 810.24, 1,215.54 and 233.16

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Solution

The fourth proportional to 810.24, 1,215.54 and 233.16 is: 349.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.24 : 1,215.54 = 233.16 : x
  2. Step 2: Convert to fraction form
    810.24/1,215.54 = 233.16/x
  3. Step 3: Cross multiply
    810.24x = 1,215.54 × 233.16
  4. Step 4: Simplify right side
    810.24x = 283,415.31
  5. Step 5: Solve for x
    x = 283,415.31/810.24
  6. Step 6: Final answer
    x = 349.79

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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.