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Finding the Fourth Proportional to 910.76, 1,366.41 and 424.10

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Solution

The fourth proportional to 910.76, 1,366.41 and 424.10 is: 636.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.76 : 1,366.41 = 424.10 : x
  2. Step 2: Convert to fraction form
    910.76/1,366.41 = 424.10/x
  3. Step 3: Cross multiply
    910.76x = 1,366.41 × 424.10
  4. Step 4: Simplify right side
    910.76x = 579,494.48
  5. Step 5: Solve for x
    x = 579,494.48/910.76
  6. Step 6: Final answer
    x = 636.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.