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Finding the Fourth Proportional to 309.71, 427.02 and 260.12

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Solution

The fourth proportional to 309.71, 427.02 and 260.12 is: 358.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.71 : 427.02 = 260.12 : x
  2. Step 2: Convert to fraction form
    309.71/427.02 = 260.12/x
  3. Step 3: Cross multiply
    309.71x = 427.02 × 260.12
  4. Step 4: Simplify right side
    309.71x = 111,074.31
  5. Step 5: Solve for x
    x = 111,074.31/309.71
  6. Step 6: Final answer
    x = 358.64

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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.