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Finding the Fourth Proportional to 549.60, 758.22 and 313.50

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Solution

The fourth proportional to 549.60, 758.22 and 313.50 is: 432.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.60 : 758.22 = 313.50 : x
  2. Step 2: Convert to fraction form
    549.60/758.22 = 313.50/x
  3. Step 3: Cross multiply
    549.60x = 758.22 × 313.50
  4. Step 4: Simplify right side
    549.60x = 237,701.97
  5. Step 5: Solve for x
    x = 237,701.97/549.60
  6. Step 6: Final answer
    x = 432.50

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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.