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Finding the Fourth Proportional to 561.83, 842.18 and 315.14

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Solution

The fourth proportional to 561.83, 842.18 and 315.14 is: 472.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.83 : 842.18 = 315.14 : x
  2. Step 2: Convert to fraction form
    561.83/842.18 = 315.14/x
  3. Step 3: Cross multiply
    561.83x = 842.18 × 315.14
  4. Step 4: Simplify right side
    561.83x = 265,398.82
  5. Step 5: Solve for x
    x = 265,398.82/561.83
  6. Step 6: Final answer
    x = 472.39

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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.