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Finding the Fourth Proportional to 880.47, 1,320.90 and 264.23

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Solution

The fourth proportional to 880.47, 1,320.90 and 264.23 is: 396.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.47 : 1,320.90 = 264.23 : x
  2. Step 2: Convert to fraction form
    880.47/1,320.90 = 264.23/x
  3. Step 3: Cross multiply
    880.47x = 1,320.90 × 264.23
  4. Step 4: Simplify right side
    880.47x = 349,021.41
  5. Step 5: Solve for x
    x = 349,021.41/880.47
  6. Step 6: Final answer
    x = 396.40

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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.