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Finding the Fourth Proportional to 545.81, 818.45 and 272.06

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Solution

The fourth proportional to 545.81, 818.45 and 272.06 is: 407.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.81 : 818.45 = 272.06 : x
  2. Step 2: Convert to fraction form
    545.81/818.45 = 272.06/x
  3. Step 3: Cross multiply
    545.81x = 818.45 × 272.06
  4. Step 4: Simplify right side
    545.81x = 222,670.23
  5. Step 5: Solve for x
    x = 222,670.23/545.81
  6. Step 6: Final answer
    x = 407.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.