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Finding the Fourth Proportional to 810.24, 1,215.20 and 233.04

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Solution

The fourth proportional to 810.24, 1,215.20 and 233.04 is: 349.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.24 : 1,215.20 = 233.04 : x
  2. Step 2: Convert to fraction form
    810.24/1,215.20 = 233.04/x
  3. Step 3: Cross multiply
    810.24x = 1,215.20 × 233.04
  4. Step 4: Simplify right side
    810.24x = 283,190.21
  5. Step 5: Solve for x
    x = 283,190.21/810.24
  6. Step 6: Final answer
    x = 349.51

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Double scale
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1.5x scale

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.