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Finding the Fourth Proportional to 592.92, 890.14 and 431.63

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Solution

The fourth proportional to 592.92, 890.14 and 431.63 is: 648.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.92 : 890.14 = 431.63 : x
  2. Step 2: Convert to fraction form
    592.92/890.14 = 431.63/x
  3. Step 3: Cross multiply
    592.92x = 890.14 × 431.63
  4. Step 4: Simplify right side
    592.92x = 384,209.75
  5. Step 5: Solve for x
    x = 384,209.75/592.92
  6. Step 6: Final answer
    x = 648.00

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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.