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Finding the Fourth Proportional to 592.67, 887.43 and 523.46

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Solution

The fourth proportional to 592.67, 887.43 and 523.46 is: 783.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.67 : 887.43 = 523.46 : x
  2. Step 2: Convert to fraction form
    592.67/887.43 = 523.46/x
  3. Step 3: Cross multiply
    592.67x = 887.43 × 523.46
  4. Step 4: Simplify right side
    592.67x = 464,534.11
  5. Step 5: Solve for x
    x = 464,534.11/592.67
  6. Step 6: Final answer
    x = 783.80

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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.