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Finding the Fourth Proportional to 549.84, 758.74 and 313.78

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Solution

The fourth proportional to 549.84, 758.74 and 313.78 is: 432.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.84 : 758.74 = 313.78 : x
  2. Step 2: Convert to fraction form
    549.84/758.74 = 313.78/x
  3. Step 3: Cross multiply
    549.84x = 758.74 × 313.78
  4. Step 4: Simplify right side
    549.84x = 238,077.44
  5. Step 5: Solve for x
    x = 238,077.44/549.84
  6. Step 6: Final answer
    x = 432.99

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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.