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Finding the Fourth Proportional to 657.06, 985.64 and 310.20

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Solution

The fourth proportional to 657.06, 985.64 and 310.20 is: 465.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.06 : 985.64 = 310.20 : x
  2. Step 2: Convert to fraction form
    657.06/985.64 = 310.20/x
  3. Step 3: Cross multiply
    657.06x = 985.64 × 310.20
  4. Step 4: Simplify right side
    657.06x = 305,745.53
  5. Step 5: Solve for x
    x = 305,745.53/657.06
  6. Step 6: Final answer
    x = 465.32

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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.