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Finding the Fourth Proportional to 358.79, 538.04 and 204.77

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Solution

The fourth proportional to 358.79, 538.04 and 204.77 is: 307.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.79 : 538.04 = 204.77 : x
  2. Step 2: Convert to fraction form
    358.79/538.04 = 204.77/x
  3. Step 3: Cross multiply
    358.79x = 538.04 × 204.77
  4. Step 4: Simplify right side
    358.79x = 110,176.31
  5. Step 5: Solve for x
    x = 110,176.31/358.79
  6. Step 6: Final answer
    x = 307.08

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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.