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Finding the Fourth Proportional to 561.74, 843.08 and 288.09

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Solution

The fourth proportional to 561.74, 843.08 and 288.09 is: 432.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.74 : 843.08 = 288.09 : x
  2. Step 2: Convert to fraction form
    561.74/843.08 = 288.09/x
  3. Step 3: Cross multiply
    561.74x = 843.08 × 288.09
  4. Step 4: Simplify right side
    561.74x = 242,881.48
  5. Step 5: Solve for x
    x = 242,881.48/561.74
  6. Step 6: Final answer
    x = 432.38

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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.