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Finding the Fourth Proportional to 908.53, 1,362.80 and 259.36

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Solution

The fourth proportional to 908.53, 1,362.80 and 259.36 is: 389.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.53 : 1,362.80 = 259.36 : x
  2. Step 2: Convert to fraction form
    908.53/1,362.80 = 259.36/x
  3. Step 3: Cross multiply
    908.53x = 1,362.80 × 259.36
  4. Step 4: Simplify right side
    908.53x = 353,454.51
  5. Step 5: Solve for x
    x = 353,454.51/908.53
  6. Step 6: Final answer
    x = 389.04

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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.