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Finding the Fourth Proportional to 377.24, 520.68 and 259.48

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Solution

The fourth proportional to 377.24, 520.68 and 259.48 is: 358.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.24 : 520.68 = 259.48 : x
  2. Step 2: Convert to fraction form
    377.24/520.68 = 259.48/x
  3. Step 3: Cross multiply
    377.24x = 520.68 × 259.48
  4. Step 4: Simplify right side
    377.24x = 135,106.05
  5. Step 5: Solve for x
    x = 135,106.05/377.24
  6. Step 6: Final answer
    x = 358.14

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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.