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Finding the Fourth Proportional to 592.54, 888.38 and 399.76

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Solution

The fourth proportional to 592.54, 888.38 and 399.76 is: 599.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.54 : 888.38 = 399.76 : x
  2. Step 2: Convert to fraction form
    592.54/888.38 = 399.76/x
  3. Step 3: Cross multiply
    592.54x = 888.38 × 399.76
  4. Step 4: Simplify right side
    592.54x = 355,138.79
  5. Step 5: Solve for x
    x = 355,138.79/592.54
  6. Step 6: Final answer
    x = 599.35

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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.