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Finding the Fourth Proportional to 592.84, 818.04 and 330.85

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Solution

The fourth proportional to 592.84, 818.04 and 330.85 is: 456.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.84 : 818.04 = 330.85 : x
  2. Step 2: Convert to fraction form
    592.84/818.04 = 330.85/x
  3. Step 3: Cross multiply
    592.84x = 818.04 × 330.85
  4. Step 4: Simplify right side
    592.84x = 270,648.53
  5. Step 5: Solve for x
    x = 270,648.53/592.84
  6. Step 6: Final answer
    x = 456.53

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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.