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Finding the Fourth Proportional to 604.20, 833.56 and 368.06

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Solution

The fourth proportional to 604.20, 833.56 and 368.06 is: 507.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.20 : 833.56 = 368.06 : x
  2. Step 2: Convert to fraction form
    604.20/833.56 = 368.06/x
  3. Step 3: Cross multiply
    604.20x = 833.56 × 368.06
  4. Step 4: Simplify right side
    604.20x = 306,802.27
  5. Step 5: Solve for x
    x = 306,802.27/604.20
  6. Step 6: Final answer
    x = 507.78

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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.