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Finding the Fourth Proportional to 592.04, 889.43 and 462.24

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Solution

The fourth proportional to 592.04, 889.43 and 462.24 is: 694.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.04 : 889.43 = 462.24 : x
  2. Step 2: Convert to fraction form
    592.04/889.43 = 462.24/x
  3. Step 3: Cross multiply
    592.04x = 889.43 × 462.24
  4. Step 4: Simplify right side
    592.04x = 411,130.41
  5. Step 5: Solve for x
    x = 411,130.41/592.04
  6. Step 6: Final answer
    x = 694.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.