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Finding the Fourth Proportional to 880.36, 1,320.30 and 417.69

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Solution

The fourth proportional to 880.36, 1,320.30 and 417.69 is: 626.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.36 : 1,320.30 = 417.69 : x
  2. Step 2: Convert to fraction form
    880.36/1,320.30 = 417.69/x
  3. Step 3: Cross multiply
    880.36x = 1,320.30 × 417.69
  4. Step 4: Simplify right side
    880.36x = 551,476.11
  5. Step 5: Solve for x
    x = 551,476.11/880.36
  6. Step 6: Final answer
    x = 626.42

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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.