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Finding the Fourth Proportional to 540.59, 810.89 and 296.98

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Solution

The fourth proportional to 540.59, 810.89 and 296.98 is: 445.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.59 : 810.89 = 296.98 : x
  2. Step 2: Convert to fraction form
    540.59/810.89 = 296.98/x
  3. Step 3: Cross multiply
    540.59x = 810.89 × 296.98
  4. Step 4: Simplify right side
    540.59x = 240,818.11
  5. Step 5: Solve for x
    x = 240,818.11/540.59
  6. Step 6: Final answer
    x = 445.47

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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.