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Finding the Fourth Proportional to 594.66, 820.47 and 361.62

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Solution

The fourth proportional to 594.66, 820.47 and 361.62 is: 498.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.66 : 820.47 = 361.62 : x
  2. Step 2: Convert to fraction form
    594.66/820.47 = 361.62/x
  3. Step 3: Cross multiply
    594.66x = 820.47 × 361.62
  4. Step 4: Simplify right side
    594.66x = 296,698.36
  5. Step 5: Solve for x
    x = 296,698.36/594.66
  6. Step 6: Final answer
    x = 498.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.