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Finding the Fourth Proportional to 613.08, 846 and 380.16

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Solution

The fourth proportional to 613.08, 846 and 380.16 is: 524.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.08 : 846 = 380.16 : x
  2. Step 2: Convert to fraction form
    613.08/846 = 380.16/x
  3. Step 3: Cross multiply
    613.08x = 846 × 380.16
  4. Step 4: Simplify right side
    613.08x = 321,615.36
  5. Step 5: Solve for x
    x = 321,615.36/613.08
  6. Step 6: Final answer
    x = 524.59

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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.