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Finding the Fourth Proportional to 613.78, 846.76 and 380.50

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Solution

The fourth proportional to 613.78, 846.76 and 380.50 is: 524.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.78 : 846.76 = 380.50 : x
  2. Step 2: Convert to fraction form
    613.78/846.76 = 380.50/x
  3. Step 3: Cross multiply
    613.78x = 846.76 × 380.50
  4. Step 4: Simplify right side
    613.78x = 322,192.18
  5. Step 5: Solve for x
    x = 322,192.18/613.78
  6. Step 6: Final answer
    x = 524.93

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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.