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Finding the Fourth Proportional to 594.02, 819.68 and 345.42

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Solution

The fourth proportional to 594.02, 819.68 and 345.42 is: 476.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.02 : 819.68 = 345.42 : x
  2. Step 2: Convert to fraction form
    594.02/819.68 = 345.42/x
  3. Step 3: Cross multiply
    594.02x = 819.68 × 345.42
  4. Step 4: Simplify right side
    594.02x = 283,133.87
  5. Step 5: Solve for x
    x = 283,133.87/594.02
  6. Step 6: Final answer
    x = 476.64

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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.