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Finding the Fourth Proportional to 880.37, 1,320.80 and 264.08

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Solution

The fourth proportional to 880.37, 1,320.80 and 264.08 is: 396.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.37 : 1,320.80 = 264.08 : x
  2. Step 2: Convert to fraction form
    880.37/1,320.80 = 264.08/x
  3. Step 3: Cross multiply
    880.37x = 1,320.80 × 264.08
  4. Step 4: Simplify right side
    880.37x = 348,788.94
  5. Step 5: Solve for x
    x = 348,788.94/880.37
  6. Step 6: Final answer
    x = 396.19

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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.