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Finding the Fourth Proportional to 549.77, 757.81 and 352.94

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Solution

The fourth proportional to 549.77, 757.81 and 352.94 is: 486.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.77 : 757.81 = 352.94 : x
  2. Step 2: Convert to fraction form
    549.77/757.81 = 352.94/x
  3. Step 3: Cross multiply
    549.77x = 757.81 × 352.94
  4. Step 4: Simplify right side
    549.77x = 267,461.46
  5. Step 5: Solve for x
    x = 267,461.46/549.77
  6. Step 6: Final answer
    x = 486.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.