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Finding the Fourth Proportional to 592.70, 889.34 and 318.76

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Solution

The fourth proportional to 592.70, 889.34 and 318.76 is: 478.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.70 : 889.34 = 318.76 : x
  2. Step 2: Convert to fraction form
    592.70/889.34 = 318.76/x
  3. Step 3: Cross multiply
    592.70x = 889.34 × 318.76
  4. Step 4: Simplify right side
    592.70x = 283,479.98
  5. Step 5: Solve for x
    x = 283,479.98/592.70
  6. Step 6: Final answer
    x = 478.29

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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.