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Finding the Fourth Proportional to 314.90, 434.33 and 209.93

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Solution

The fourth proportional to 314.90, 434.33 and 209.93 is: 289.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.90 : 434.33 = 209.93 : x
  2. Step 2: Convert to fraction form
    314.90/434.33 = 209.93/x
  3. Step 3: Cross multiply
    314.90x = 434.33 × 209.93
  4. Step 4: Simplify right side
    314.90x = 91,180.51
  5. Step 5: Solve for x
    x = 91,180.51/314.90
  6. Step 6: Final answer
    x = 289.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.