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Finding the Fourth Proportional to 664.68, 917.31 and 370.02

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Solution

The fourth proportional to 664.68, 917.31 and 370.02 is: 510.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.68 : 917.31 = 370.02 : x
  2. Step 2: Convert to fraction form
    664.68/917.31 = 370.02/x
  3. Step 3: Cross multiply
    664.68x = 917.31 × 370.02
  4. Step 4: Simplify right side
    664.68x = 339,423.05
  5. Step 5: Solve for x
    x = 339,423.05/664.68
  6. Step 6: Final answer
    x = 510.66

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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.