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Finding the Fourth Proportional to 534.03, 737.63 and 411.18

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Solution

The fourth proportional to 534.03, 737.63 and 411.18 is: 567.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.03 : 737.63 = 411.18 : x
  2. Step 2: Convert to fraction form
    534.03/737.63 = 411.18/x
  3. Step 3: Cross multiply
    534.03x = 737.63 × 411.18
  4. Step 4: Simplify right side
    534.03x = 303,296.65
  5. Step 5: Solve for x
    x = 303,296.65/534.03
  6. Step 6: Final answer
    x = 567.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.