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Finding the Fourth Proportional to 549.02, 823.94 and 477.74

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Solution

The fourth proportional to 549.02, 823.94 and 477.74 is: 716.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.02 : 823.94 = 477.74 : x
  2. Step 2: Convert to fraction form
    549.02/823.94 = 477.74/x
  3. Step 3: Cross multiply
    549.02x = 823.94 × 477.74
  4. Step 4: Simplify right side
    549.02x = 393,629.10
  5. Step 5: Solve for x
    x = 393,629.10/549.02
  6. Step 6: Final answer
    x = 716.97

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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.