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Finding the Fourth Proportional to 505.83, 759.36 and 232.02

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Solution

The fourth proportional to 505.83, 759.36 and 232.02 is: 348.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.83 : 759.36 = 232.02 : x
  2. Step 2: Convert to fraction form
    505.83/759.36 = 232.02/x
  3. Step 3: Cross multiply
    505.83x = 759.36 × 232.02
  4. Step 4: Simplify right side
    505.83x = 176,186.71
  5. Step 5: Solve for x
    x = 176,186.71/505.83
  6. Step 6: Final answer
    x = 348.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.