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Finding the Fourth Proportional to 534.45, 737.33 and 409.89

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Solution

The fourth proportional to 534.45, 737.33 and 409.89 is: 565.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.45 : 737.33 = 409.89 : x
  2. Step 2: Convert to fraction form
    534.45/737.33 = 409.89/x
  3. Step 3: Cross multiply
    534.45x = 737.33 × 409.89
  4. Step 4: Simplify right side
    534.45x = 302,222.14
  5. Step 5: Solve for x
    x = 302,222.14/534.45
  6. Step 6: Final answer
    x = 565.48

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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.