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Finding the Fourth Proportional to 910.59, 1,366.44 and 416.91

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Solution

The fourth proportional to 910.59, 1,366.44 and 416.91 is: 625.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.59 : 1,366.44 = 416.91 : x
  2. Step 2: Convert to fraction form
    910.59/1,366.44 = 416.91/x
  3. Step 3: Cross multiply
    910.59x = 1,366.44 × 416.91
  4. Step 4: Simplify right side
    910.59x = 569,682.50
  5. Step 5: Solve for x
    x = 569,682.50/910.59
  6. Step 6: Final answer
    x = 625.62

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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.