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Finding the Fourth Proportional to 664.93, 917.47 and 385.10

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Solution

The fourth proportional to 664.93, 917.47 and 385.10 is: 531.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.93 : 917.47 = 385.10 : x
  2. Step 2: Convert to fraction form
    664.93/917.47 = 385.10/x
  3. Step 3: Cross multiply
    664.93x = 917.47 × 385.10
  4. Step 4: Simplify right side
    664.93x = 353,317.70
  5. Step 5: Solve for x
    x = 353,317.70/664.93
  6. Step 6: Final answer
    x = 531.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.