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Finding the Fourth Proportional to 549.54, 823.54 and 256.72

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Solution

The fourth proportional to 549.54, 823.54 and 256.72 is: 384.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.54 : 823.54 = 256.72 : x
  2. Step 2: Convert to fraction form
    549.54/823.54 = 256.72/x
  3. Step 3: Cross multiply
    549.54x = 823.54 × 256.72
  4. Step 4: Simplify right side
    549.54x = 211,421.89
  5. Step 5: Solve for x
    x = 211,421.89/549.54
  6. Step 6: Final answer
    x = 384.73

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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.