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Finding the Fourth Proportional to 358.53, 536.76 and 204.09

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Solution

The fourth proportional to 358.53, 536.76 and 204.09 is: 305.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.53 : 536.76 = 204.09 : x
  2. Step 2: Convert to fraction form
    358.53/536.76 = 204.09/x
  3. Step 3: Cross multiply
    358.53x = 536.76 × 204.09
  4. Step 4: Simplify right side
    358.53x = 109,547.35
  5. Step 5: Solve for x
    x = 109,547.35/358.53
  6. Step 6: Final answer
    x = 305.55

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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.