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Finding the Fourth Proportional to 657.32, 985.32 and 310.46

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Solution

The fourth proportional to 657.32, 985.32 and 310.46 is: 465.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.32 : 985.32 = 310.46 : x
  2. Step 2: Convert to fraction form
    657.32/985.32 = 310.46/x
  3. Step 3: Cross multiply
    657.32x = 985.32 × 310.46
  4. Step 4: Simplify right side
    657.32x = 305,897.52
  5. Step 5: Solve for x
    x = 305,897.52/657.32
  6. Step 6: Final answer
    x = 465.37

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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.