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Finding the Fourth Proportional to 314.04, 471.60 and 205.86

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Solution

The fourth proportional to 314.04, 471.60 and 205.86 is: 309.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.04 : 471.60 = 205.86 : x
  2. Step 2: Convert to fraction form
    314.04/471.60 = 205.86/x
  3. Step 3: Cross multiply
    314.04x = 471.60 × 205.86
  4. Step 4: Simplify right side
    314.04x = 97,083.58
  5. Step 5: Solve for x
    x = 97,083.58/314.04
  6. Step 6: Final answer
    x = 309.14

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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.