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Finding the Fourth Proportional to 592.69, 889.34 and 332.98

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Solution

The fourth proportional to 592.69, 889.34 and 332.98 is: 499.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.69 : 889.34 = 332.98 : x
  2. Step 2: Convert to fraction form
    592.69/889.34 = 332.98/x
  3. Step 3: Cross multiply
    592.69x = 889.34 × 332.98
  4. Step 4: Simplify right side
    592.69x = 296,132.43
  5. Step 5: Solve for x
    x = 296,132.43/592.69
  6. Step 6: Final answer
    x = 499.64

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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.