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Finding the Fourth Proportional to 561.32, 838.17 and 444.45

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Solution

The fourth proportional to 561.32, 838.17 and 444.45 is: 663.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.32 : 838.17 = 444.45 : x
  2. Step 2: Convert to fraction form
    561.32/838.17 = 444.45/x
  3. Step 3: Cross multiply
    561.32x = 838.17 × 444.45
  4. Step 4: Simplify right side
    561.32x = 372,524.66
  5. Step 5: Solve for x
    x = 372,524.66/561.32
  6. Step 6: Final answer
    x = 663.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.