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Finding the Fourth Proportional to 561.80, 841.23 and 301.34

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Solution

The fourth proportional to 561.80, 841.23 and 301.34 is: 451.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.80 : 841.23 = 301.34 : x
  2. Step 2: Convert to fraction form
    561.80/841.23 = 301.34/x
  3. Step 3: Cross multiply
    561.80x = 841.23 × 301.34
  4. Step 4: Simplify right side
    561.80x = 253,496.25
  5. Step 5: Solve for x
    x = 253,496.25/561.80
  6. Step 6: Final answer
    x = 451.22

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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.