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Finding the Fourth Proportional to 591.10, 886.64 and 206.35

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Solution

The fourth proportional to 591.10, 886.64 and 206.35 is: 309.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.10 : 886.64 = 206.35 : x
  2. Step 2: Convert to fraction form
    591.10/886.64 = 206.35/x
  3. Step 3: Cross multiply
    591.10x = 886.64 × 206.35
  4. Step 4: Simplify right side
    591.10x = 182,956.46
  5. Step 5: Solve for x
    x = 182,956.46/591.10
  6. Step 6: Final answer
    x = 309.52

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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.