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Finding the Fourth Proportional to 561.12, 774.94 and 438.24

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Solution

The fourth proportional to 561.12, 774.94 and 438.24 is: 605.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.12 : 774.94 = 438.24 : x
  2. Step 2: Convert to fraction form
    561.12/774.94 = 438.24/x
  3. Step 3: Cross multiply
    561.12x = 774.94 × 438.24
  4. Step 4: Simplify right side
    561.12x = 339,609.71
  5. Step 5: Solve for x
    x = 339,609.71/561.12
  6. Step 6: Final answer
    x = 605.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.