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Finding the Fourth Proportional to 549.34, 824.14 and 220.30

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Solution

The fourth proportional to 549.34, 824.14 and 220.30 is: 330.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.34 : 824.14 = 220.30 : x
  2. Step 2: Convert to fraction form
    549.34/824.14 = 220.30/x
  3. Step 3: Cross multiply
    549.34x = 824.14 × 220.30
  4. Step 4: Simplify right side
    549.34x = 181,558.04
  5. Step 5: Solve for x
    x = 181,558.04/549.34
  6. Step 6: Final answer
    x = 330.50

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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.