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Finding the Fourth Proportional to 561.62, 842.38 and 210.15

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Solution

The fourth proportional to 561.62, 842.38 and 210.15 is: 315.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.62 : 842.38 = 210.15 : x
  2. Step 2: Convert to fraction form
    561.62/842.38 = 210.15/x
  3. Step 3: Cross multiply
    561.62x = 842.38 × 210.15
  4. Step 4: Simplify right side
    561.62x = 177,030.24
  5. Step 5: Solve for x
    x = 177,030.24/561.62
  6. Step 6: Final answer
    x = 315.22

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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.