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Finding the Fourth Proportional to 549.32, 758.09 and 313.29

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Solution

The fourth proportional to 549.32, 758.09 and 313.29 is: 432.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.32 : 758.09 = 313.29 : x
  2. Step 2: Convert to fraction form
    549.32/758.09 = 313.29/x
  3. Step 3: Cross multiply
    549.32x = 758.09 × 313.29
  4. Step 4: Simplify right side
    549.32x = 237,500.45
  5. Step 5: Solve for x
    x = 237,500.45/549.32
  6. Step 6: Final answer
    x = 432.35

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