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Finding the Fourth Proportional to 314.68, 471.94 and 98.28

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Solution

The fourth proportional to 314.68, 471.94 and 98.28 is: 147.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.68 : 471.94 = 98.28 : x
  2. Step 2: Convert to fraction form
    314.68/471.94 = 98.28/x
  3. Step 3: Cross multiply
    314.68x = 471.94 × 98.28
  4. Step 4: Simplify right side
    314.68x = 46,382.26
  5. Step 5: Solve for x
    x = 46,382.26/314.68
  6. Step 6: Final answer
    x = 147.40

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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.