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Finding the Fourth Proportional to 592.40, 889.32 and 400.88

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Solution

The fourth proportional to 592.40, 889.32 and 400.88 is: 601.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.40 : 889.32 = 400.88 : x
  2. Step 2: Convert to fraction form
    592.40/889.32 = 400.88/x
  3. Step 3: Cross multiply
    592.40x = 889.32 × 400.88
  4. Step 4: Simplify right side
    592.40x = 356,510.60
  5. Step 5: Solve for x
    x = 356,510.60/592.40
  6. Step 6: Final answer
    x = 601.81

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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.