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Finding the Fourth Proportional to 409.77, 565.47 and 262.38

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Solution

The fourth proportional to 409.77, 565.47 and 262.38 is: 362.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.77 : 565.47 = 262.38 : x
  2. Step 2: Convert to fraction form
    409.77/565.47 = 262.38/x
  3. Step 3: Cross multiply
    409.77x = 565.47 × 262.38
  4. Step 4: Simplify right side
    409.77x = 148,368.02
  5. Step 5: Solve for x
    x = 148,368.02/409.77
  6. Step 6: Final answer
    x = 362.08

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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.