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Finding the Fourth Proportional to 411.84, 617.66 and 303.32

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Solution

The fourth proportional to 411.84, 617.66 and 303.32 is: 454.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.84 : 617.66 = 303.32 : x
  2. Step 2: Convert to fraction form
    411.84/617.66 = 303.32/x
  3. Step 3: Cross multiply
    411.84x = 617.66 × 303.32
  4. Step 4: Simplify right side
    411.84x = 187,348.63
  5. Step 5: Solve for x
    x = 187,348.63/411.84
  6. Step 6: Final answer
    x = 454.91

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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.