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Finding the Fourth Proportional to 617.07, 924.73 and 434.09

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Solution

The fourth proportional to 617.07, 924.73 and 434.09 is: 650.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.07 : 924.73 = 434.09 : x
  2. Step 2: Convert to fraction form
    617.07/924.73 = 434.09/x
  3. Step 3: Cross multiply
    617.07x = 924.73 × 434.09
  4. Step 4: Simplify right side
    617.07x = 401,416.05
  5. Step 5: Solve for x
    x = 401,416.05/617.07
  6. Step 6: Final answer
    x = 650.52

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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.