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Finding the Fourth Proportional to 613.12, 919.16 and 288.32

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Solution

The fourth proportional to 613.12, 919.16 and 288.32 is: 432.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.12 : 919.16 = 288.32 : x
  2. Step 2: Convert to fraction form
    613.12/919.16 = 288.32/x
  3. Step 3: Cross multiply
    613.12x = 919.16 × 288.32
  4. Step 4: Simplify right side
    613.12x = 265,012.21
  5. Step 5: Solve for x
    x = 265,012.21/613.12
  6. Step 6: Final answer
    x = 432.24

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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.