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Finding the Fourth Proportional to 296.07, 409.46 and 259.17

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Solution

The fourth proportional to 296.07, 409.46 and 259.17 is: 358.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.07 : 409.46 = 259.17 : x
  2. Step 2: Convert to fraction form
    296.07/409.46 = 259.17/x
  3. Step 3: Cross multiply
    296.07x = 409.46 × 259.17
  4. Step 4: Simplify right side
    296.07x = 106,116.92
  5. Step 5: Solve for x
    x = 106,116.92/296.07
  6. Step 6: Final answer
    x = 358.42

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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.