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Finding the Fourth Proportional to 314.33, 434.09 and 259.25

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Solution

The fourth proportional to 314.33, 434.09 and 259.25 is: 358.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.33 : 434.09 = 259.25 : x
  2. Step 2: Convert to fraction form
    314.33/434.09 = 259.25/x
  3. Step 3: Cross multiply
    314.33x = 434.09 × 259.25
  4. Step 4: Simplify right side
    314.33x = 112,537.83
  5. Step 5: Solve for x
    x = 112,537.83/314.33
  6. Step 6: Final answer
    x = 358.02

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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.