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Finding the Fourth Proportional to 409.88, 565.40 and 262.35

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Solution

The fourth proportional to 409.88, 565.40 and 262.35 is: 361.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.88 : 565.40 = 262.35 : x
  2. Step 2: Convert to fraction form
    409.88/565.40 = 262.35/x
  3. Step 3: Cross multiply
    409.88x = 565.40 × 262.35
  4. Step 4: Simplify right side
    409.88x = 148,333.35
  5. Step 5: Solve for x
    x = 148,333.35/409.88
  6. Step 6: Final answer
    x = 361.89

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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.