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Finding the Fourth Proportional to 549.42, 823.74 and 256.68

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Solution

The fourth proportional to 549.42, 823.74 and 256.68 is: 384.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.42 : 823.74 = 256.68 : x
  2. Step 2: Convert to fraction form
    549.42/823.74 = 256.68/x
  3. Step 3: Cross multiply
    549.42x = 823.74 × 256.68
  4. Step 4: Simplify right side
    549.42x = 211,437.58
  5. Step 5: Solve for x
    x = 211,437.58/549.42
  6. Step 6: Final answer
    x = 384.84

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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.