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Finding the Fourth Proportional to 549.35, 823.20 and 275.06

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Solution

The fourth proportional to 549.35, 823.20 and 275.06 is: 412.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.35 : 823.20 = 275.06 : x
  2. Step 2: Convert to fraction form
    549.35/823.20 = 275.06/x
  3. Step 3: Cross multiply
    549.35x = 823.20 × 275.06
  4. Step 4: Simplify right side
    549.35x = 226,430.42
  5. Step 5: Solve for x
    x = 226,430.42/549.35
  6. Step 6: Final answer
    x = 412.18

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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.