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Finding the Fourth Proportional to 613.76, 919.75 and 476.16

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Solution

The fourth proportional to 613.76, 919.75 and 476.16 is: 713.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.76 : 919.75 = 476.16 : x
  2. Step 2: Convert to fraction form
    613.76/919.75 = 476.16/x
  3. Step 3: Cross multiply
    613.76x = 919.75 × 476.16
  4. Step 4: Simplify right side
    613.76x = 437,948.16
  5. Step 5: Solve for x
    x = 437,948.16/613.76
  6. Step 6: Final answer
    x = 713.55

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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.