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Finding the Fourth Proportional to 617.77, 926.17 and 309.46

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Solution

The fourth proportional to 617.77, 926.17 and 309.46 is: 463.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.77 : 926.17 = 309.46 : x
  2. Step 2: Convert to fraction form
    617.77/926.17 = 309.46/x
  3. Step 3: Cross multiply
    617.77x = 926.17 × 309.46
  4. Step 4: Simplify right side
    617.77x = 286,611.02
  5. Step 5: Solve for x
    x = 286,611.02/617.77
  6. Step 6: Final answer
    x = 463.95

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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.