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Finding the Fourth Proportional to 594.84, 819.84 and 484.08

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Solution

The fourth proportional to 594.84, 819.84 and 484.08 is: 667.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.84 : 819.84 = 484.08 : x
  2. Step 2: Convert to fraction form
    594.84/819.84 = 484.08/x
  3. Step 3: Cross multiply
    594.84x = 819.84 × 484.08
  4. Step 4: Simplify right side
    594.84x = 396,868.15
  5. Step 5: Solve for x
    x = 396,868.15/594.84
  6. Step 6: Final answer
    x = 667.18

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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.