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Finding the Fourth Proportional to 543.53, 749.56 and 357.18

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Solution

The fourth proportional to 543.53, 749.56 and 357.18 is: 492.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.53 : 749.56 = 357.18 : x
  2. Step 2: Convert to fraction form
    543.53/749.56 = 357.18/x
  3. Step 3: Cross multiply
    543.53x = 749.56 × 357.18
  4. Step 4: Simplify right side
    543.53x = 267,727.84
  5. Step 5: Solve for x
    x = 267,727.84/543.53
  6. Step 6: Final answer
    x = 492.57

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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.