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Finding the Fourth Proportional to 617.76, 926.78 and 357.62

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Solution

The fourth proportional to 617.76, 926.78 and 357.62 is: 536.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.76 : 926.78 = 357.62 : x
  2. Step 2: Convert to fraction form
    617.76/926.78 = 357.62/x
  3. Step 3: Cross multiply
    617.76x = 926.78 × 357.62
  4. Step 4: Simplify right side
    617.76x = 331,428.64
  5. Step 5: Solve for x
    x = 331,428.64/617.76
  6. Step 6: Final answer
    x = 536.50

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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.