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Finding the Fourth Proportional to 910.55, 1,366.01 and 285.83

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Solution

The fourth proportional to 910.55, 1,366.01 and 285.83 is: 428.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.55 : 1,366.01 = 285.83 : x
  2. Step 2: Convert to fraction form
    910.55/1,366.01 = 285.83/x
  3. Step 3: Cross multiply
    910.55x = 1,366.01 × 285.83
  4. Step 4: Simplify right side
    910.55x = 390,446.64
  5. Step 5: Solve for x
    x = 390,446.64/910.55
  6. Step 6: Final answer
    x = 428.80

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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.