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Finding the Fourth Proportional to 314.49, 471.64 and 98.09

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Solution

The fourth proportional to 314.49, 471.64 and 98.09 is: 147.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.49 : 471.64 = 98.09 : x
  2. Step 2: Convert to fraction form
    314.49/471.64 = 98.09/x
  3. Step 3: Cross multiply
    314.49x = 471.64 × 98.09
  4. Step 4: Simplify right side
    314.49x = 46,263.17
  5. Step 5: Solve for x
    x = 46,263.17/314.49
  6. Step 6: Final answer
    x = 147.11

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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.