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Finding the Fourth Proportional to 561.84, 842.07 and 424.44

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Solution

The fourth proportional to 561.84, 842.07 and 424.44 is: 636.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.84 : 842.07 = 424.44 : x
  2. Step 2: Convert to fraction form
    561.84/842.07 = 424.44/x
  3. Step 3: Cross multiply
    561.84x = 842.07 × 424.44
  4. Step 4: Simplify right side
    561.84x = 357,408.19
  5. Step 5: Solve for x
    x = 357,408.19/561.84
  6. Step 6: Final answer
    x = 636.14

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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.