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Finding the Fourth Proportional to 660.93, 991.06 and 314.19

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Solution

The fourth proportional to 660.93, 991.06 and 314.19 is: 471.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.93 : 991.06 = 314.19 : x
  2. Step 2: Convert to fraction form
    660.93/991.06 = 314.19/x
  3. Step 3: Cross multiply
    660.93x = 991.06 × 314.19
  4. Step 4: Simplify right side
    660.93x = 311,381.14
  5. Step 5: Solve for x
    x = 311,381.14/660.93
  6. Step 6: Final answer
    x = 471.13

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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.