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Finding the Fourth Proportional to 612.83, 919.25 and 288.43

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Solution

The fourth proportional to 612.83, 919.25 and 288.43 is: 432.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.83 : 919.25 = 288.43 : x
  2. Step 2: Convert to fraction form
    612.83/919.25 = 288.43/x
  3. Step 3: Cross multiply
    612.83x = 919.25 × 288.43
  4. Step 4: Simplify right side
    612.83x = 265,133.24
  5. Step 5: Solve for x
    x = 265,133.24/612.83
  6. Step 6: Final answer
    x = 432.64

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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.