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Finding the Fourth Proportional to 549.10, 823.41 and 256.59

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Solution

The fourth proportional to 549.10, 823.41 and 256.59 is: 384.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.10 : 823.41 = 256.59 : x
  2. Step 2: Convert to fraction form
    549.10/823.41 = 256.59/x
  3. Step 3: Cross multiply
    549.10x = 823.41 × 256.59
  4. Step 4: Simplify right side
    549.10x = 211,278.77
  5. Step 5: Solve for x
    x = 211,278.77/549.10
  6. Step 6: Final answer
    x = 384.77

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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.