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Finding the Fourth Proportional to 910.80, 1,366.34 and 416.84

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Solution

The fourth proportional to 910.80, 1,366.34 and 416.84 is: 625.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.80 : 1,366.34 = 416.84 : x
  2. Step 2: Convert to fraction form
    910.80/1,366.34 = 416.84/x
  3. Step 3: Cross multiply
    910.80x = 1,366.34 × 416.84
  4. Step 4: Simplify right side
    910.80x = 569,536.25
  5. Step 5: Solve for x
    x = 569,536.25/910.80
  6. Step 6: Final answer
    x = 625.31

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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.