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Finding the Fourth Proportional to 604.80, 834.12 and 429.84

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Solution

The fourth proportional to 604.80, 834.12 and 429.84 is: 592.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.80 : 834.12 = 429.84 : x
  2. Step 2: Convert to fraction form
    604.80/834.12 = 429.84/x
  3. Step 3: Cross multiply
    604.80x = 834.12 × 429.84
  4. Step 4: Simplify right side
    604.80x = 358,538.14
  5. Step 5: Solve for x
    x = 358,538.14/604.80
  6. Step 6: Final answer
    x = 592.82

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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.