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Finding the Fourth Proportional to 592.67, 889.05 and 432.29

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Solution

The fourth proportional to 592.67, 889.05 and 432.29 is: 648.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.67 : 889.05 = 432.29 : x
  2. Step 2: Convert to fraction form
    592.67/889.05 = 432.29/x
  3. Step 3: Cross multiply
    592.67x = 889.05 × 432.29
  4. Step 4: Simplify right side
    592.67x = 384,327.42
  5. Step 5: Solve for x
    x = 384,327.42/592.67
  6. Step 6: Final answer
    x = 648.47

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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.