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Finding the Fourth Proportional to 613.02, 919.66 and 288.21

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Solution

The fourth proportional to 613.02, 919.66 and 288.21 is: 432.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.02 : 919.66 = 288.21 : x
  2. Step 2: Convert to fraction form
    613.02/919.66 = 288.21/x
  3. Step 3: Cross multiply
    613.02x = 919.66 × 288.21
  4. Step 4: Simplify right side
    613.02x = 265,055.21
  5. Step 5: Solve for x
    x = 265,055.21/613.02
  6. Step 6: Final answer
    x = 432.38

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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.