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Finding the Fourth Proportional to 617.65, 926.07 and 309.34

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Solution

The fourth proportional to 617.65, 926.07 and 309.34 is: 463.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.65 : 926.07 = 309.34 : x
  2. Step 2: Convert to fraction form
    617.65/926.07 = 309.34/x
  3. Step 3: Cross multiply
    617.65x = 926.07 × 309.34
  4. Step 4: Simplify right side
    617.65x = 286,470.49
  5. Step 5: Solve for x
    x = 286,470.49/617.65
  6. Step 6: Final answer
    x = 463.81

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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.