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Finding the Fourth Proportional to 543.27, 810.63 and 491.04

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Solution

The fourth proportional to 543.27, 810.63 and 491.04 is: 732.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.27 : 810.63 = 491.04 : x
  2. Step 2: Convert to fraction form
    543.27/810.63 = 491.04/x
  3. Step 3: Cross multiply
    543.27x = 810.63 × 491.04
  4. Step 4: Simplify right side
    543.27x = 398,051.76
  5. Step 5: Solve for x
    x = 398,051.76/543.27
  6. Step 6: Final answer
    x = 732.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.