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Finding the Fourth Proportional to 613.14, 917.67 and 381.24

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Solution

The fourth proportional to 613.14, 917.67 and 381.24 is: 570.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.14 : 917.67 = 381.24 : x
  2. Step 2: Convert to fraction form
    613.14/917.67 = 381.24/x
  3. Step 3: Cross multiply
    613.14x = 917.67 × 381.24
  4. Step 4: Simplify right side
    613.14x = 349,852.51
  5. Step 5: Solve for x
    x = 349,852.51/613.14
  6. Step 6: Final answer
    x = 570.59

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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.