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Finding the Fourth Proportional to 591.59, 886.97 and 262.35

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Solution

The fourth proportional to 591.59, 886.97 and 262.35 is: 393.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.59 : 886.97 = 262.35 : x
  2. Step 2: Convert to fraction form
    591.59/886.97 = 262.35/x
  3. Step 3: Cross multiply
    591.59x = 886.97 × 262.35
  4. Step 4: Simplify right side
    591.59x = 232,699.45
  5. Step 5: Solve for x
    x = 232,699.45/591.59
  6. Step 6: Final answer
    x = 393.34

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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.