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Finding the Fourth Proportional to 409.90, 565.50 and 262.72

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Solution

The fourth proportional to 409.90, 565.50 and 262.72 is: 362.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.90 : 565.50 = 262.72 : x
  2. Step 2: Convert to fraction form
    409.90/565.50 = 262.72/x
  3. Step 3: Cross multiply
    409.90x = 565.50 × 262.72
  4. Step 4: Simplify right side
    409.90x = 148,568.16
  5. Step 5: Solve for x
    x = 148,568.16/409.90
  6. Step 6: Final answer
    x = 362.45

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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.