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Finding the Fourth Proportional to 293.64, 404.88 and 259.08

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Solution

The fourth proportional to 293.64, 404.88 and 259.08 is: 357.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.64 : 404.88 = 259.08 : x
  2. Step 2: Convert to fraction form
    293.64/404.88 = 259.08/x
  3. Step 3: Cross multiply
    293.64x = 404.88 × 259.08
  4. Step 4: Simplify right side
    293.64x = 104,896.31
  5. Step 5: Solve for x
    x = 104,896.31/293.64
  6. Step 6: Final answer
    x = 357.23

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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.