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Finding the Fourth Proportional to 549.84, 757.56 and 383.76

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Solution

The fourth proportional to 549.84, 757.56 and 383.76 is: 528.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.84 : 757.56 = 383.76 : x
  2. Step 2: Convert to fraction form
    549.84/757.56 = 383.76/x
  3. Step 3: Cross multiply
    549.84x = 757.56 × 383.76
  4. Step 4: Simplify right side
    549.84x = 290,721.23
  5. Step 5: Solve for x
    x = 290,721.23/549.84
  6. Step 6: Final answer
    x = 528.74

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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.