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Finding the Fourth Proportional to 549.45, 823.96 and 256.89

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Solution

The fourth proportional to 549.45, 823.96 and 256.89 is: 385.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.45 : 823.96 = 256.89 : x
  2. Step 2: Convert to fraction form
    549.45/823.96 = 256.89/x
  3. Step 3: Cross multiply
    549.45x = 823.96 × 256.89
  4. Step 4: Simplify right side
    549.45x = 211,670.50
  5. Step 5: Solve for x
    x = 211,670.50/549.45
  6. Step 6: Final answer
    x = 385.24

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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.