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Finding the Fourth Proportional to 296.04, 445.83 and 260.36

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Solution

The fourth proportional to 296.04, 445.83 and 260.36 is: 392.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.04 : 445.83 = 260.36 : x
  2. Step 2: Convert to fraction form
    296.04/445.83 = 260.36/x
  3. Step 3: Cross multiply
    296.04x = 445.83 × 260.36
  4. Step 4: Simplify right side
    296.04x = 116,076.30
  5. Step 5: Solve for x
    x = 116,076.30/296.04
  6. Step 6: Final answer
    x = 392.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.