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Finding the Fourth Proportional to 617.07, 926.08 and 292.67

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Solution

The fourth proportional to 617.07, 926.08 and 292.67 is: 439.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.07 : 926.08 = 292.67 : x
  2. Step 2: Convert to fraction form
    617.07/926.08 = 292.67/x
  3. Step 3: Cross multiply
    617.07x = 926.08 × 292.67
  4. Step 4: Simplify right side
    617.07x = 271,035.83
  5. Step 5: Solve for x
    x = 271,035.83/617.07
  6. Step 6: Final answer
    x = 439.23

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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.