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Finding the Fourth Proportional to 612.74, 919.32 and 288.14

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Solution

The fourth proportional to 612.74, 919.32 and 288.14 is: 432.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.74 : 919.32 = 288.14 : x
  2. Step 2: Convert to fraction form
    612.74/919.32 = 288.14/x
  3. Step 3: Cross multiply
    612.74x = 919.32 × 288.14
  4. Step 4: Simplify right side
    612.74x = 264,892.86
  5. Step 5: Solve for x
    x = 264,892.86/612.74
  6. Step 6: Final answer
    x = 432.31

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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.