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Finding the Fourth Proportional to 656.93, 985.07 and 310.19

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Solution

The fourth proportional to 656.93, 985.07 and 310.19 is: 465.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.93 : 985.07 = 310.19 : x
  2. Step 2: Convert to fraction form
    656.93/985.07 = 310.19/x
  3. Step 3: Cross multiply
    656.93x = 985.07 × 310.19
  4. Step 4: Simplify right side
    656.93x = 305,552.39
  5. Step 5: Solve for x
    x = 305,552.39/656.93
  6. Step 6: Final answer
    x = 465.13

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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.