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Finding the Fourth Proportional to 591.66, 886.89 and 266.94

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Solution

The fourth proportional to 591.66, 886.89 and 266.94 is: 400.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.66 : 886.89 = 266.94 : x
  2. Step 2: Convert to fraction form
    591.66/886.89 = 266.94/x
  3. Step 3: Cross multiply
    591.66x = 886.89 × 266.94
  4. Step 4: Simplify right side
    591.66x = 236,746.42
  5. Step 5: Solve for x
    x = 236,746.42/591.66
  6. Step 6: Final answer
    x = 400.14

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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.