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Finding the Fourth Proportional to 910.34, 1,366.07 and 416.66

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Solution

The fourth proportional to 910.34, 1,366.07 and 416.66 is: 625.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.34 : 1,366.07 = 416.66 : x
  2. Step 2: Convert to fraction form
    910.34/1,366.07 = 416.66/x
  3. Step 3: Cross multiply
    910.34x = 1,366.07 × 416.66
  4. Step 4: Simplify right side
    910.34x = 569,191.18
  5. Step 5: Solve for x
    x = 569,191.18/910.34
  6. Step 6: Final answer
    x = 625.25

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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.