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Finding the Fourth Proportional to 358.52, 536.43 and 204.58

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Solution

The fourth proportional to 358.52, 536.43 and 204.58 is: 306.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.52 : 536.43 = 204.58 : x
  2. Step 2: Convert to fraction form
    358.52/536.43 = 204.58/x
  3. Step 3: Cross multiply
    358.52x = 536.43 × 204.58
  4. Step 4: Simplify right side
    358.52x = 109,741.51
  5. Step 5: Solve for x
    x = 109,741.51/358.52
  6. Step 6: Final answer
    x = 306.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.