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Finding the Fourth Proportional to 332.06, 500.26 and 260.24

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Solution

The fourth proportional to 332.06, 500.26 and 260.24 is: 392.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.06 : 500.26 = 260.24 : x
  2. Step 2: Convert to fraction form
    332.06/500.26 = 260.24/x
  3. Step 3: Cross multiply
    332.06x = 500.26 × 260.24
  4. Step 4: Simplify right side
    332.06x = 130,186.36
  5. Step 5: Solve for x
    x = 130,186.36/332.06
  6. Step 6: Final answer
    x = 392.06

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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.