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Finding the Fourth Proportional to 561.32, 841.66 and 409

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Solution

The fourth proportional to 561.32, 841.66 and 409 is: 613.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.32 : 841.66 = 409 : x
  2. Step 2: Convert to fraction form
    561.32/841.66 = 409/x
  3. Step 3: Cross multiply
    561.32x = 841.66 × 409
  4. Step 4: Simplify right side
    561.32x = 344,238.94
  5. Step 5: Solve for x
    x = 344,238.94/561.32
  6. Step 6: Final answer
    x = 613.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.