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Finding the Fourth Proportional to 552.10, 828.14 and 223.06

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Solution

The fourth proportional to 552.10, 828.14 and 223.06 is: 334.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.10 : 828.14 = 223.06 : x
  2. Step 2: Convert to fraction form
    552.10/828.14 = 223.06/x
  3. Step 3: Cross multiply
    552.10x = 828.14 × 223.06
  4. Step 4: Simplify right side
    552.10x = 184,724.91
  5. Step 5: Solve for x
    x = 184,724.91/552.10
  6. Step 6: Final answer
    x = 334.59

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Double scale
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Similar ratio
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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.