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Finding the Fourth Proportional to 592.88, 818.12 and 340.80

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Solution

The fourth proportional to 592.88, 818.12 and 340.80 is: 470.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.88 : 818.12 = 340.80 : x
  2. Step 2: Convert to fraction form
    592.88/818.12 = 340.80/x
  3. Step 3: Cross multiply
    592.88x = 818.12 × 340.80
  4. Step 4: Simplify right side
    592.88x = 278,813.59
  5. Step 5: Solve for x
    x = 278,813.59/592.88
  6. Step 6: Final answer
    x = 470.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.