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Finding the Fourth Proportional to 657.53, 985.77 and 310.68

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Solution

The fourth proportional to 657.53, 985.77 and 310.68 is: 465.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.53 : 985.77 = 310.68 : x
  2. Step 2: Convert to fraction form
    657.53/985.77 = 310.68/x
  3. Step 3: Cross multiply
    657.53x = 985.77 × 310.68
  4. Step 4: Simplify right side
    657.53x = 306,259.02
  5. Step 5: Solve for x
    x = 306,259.02/657.53
  6. Step 6: Final answer
    x = 465.77

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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.