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Finding the Fourth Proportional to 591.67, 885.93 and 522.46

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Solution

The fourth proportional to 591.67, 885.93 and 522.46 is: 782.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.67 : 885.93 = 522.46 : x
  2. Step 2: Convert to fraction form
    591.67/885.93 = 522.46/x
  3. Step 3: Cross multiply
    591.67x = 885.93 × 522.46
  4. Step 4: Simplify right side
    591.67x = 462,862.99
  5. Step 5: Solve for x
    x = 462,862.99/591.67
  6. Step 6: Final answer
    x = 782.30

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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.