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Finding the Fourth Proportional to 358.83, 537.80 and 322.38

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Solution

The fourth proportional to 358.83, 537.80 and 322.38 is: 483.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.83 : 537.80 = 322.38 : x
  2. Step 2: Convert to fraction form
    358.83/537.80 = 322.38/x
  3. Step 3: Cross multiply
    358.83x = 537.80 × 322.38
  4. Step 4: Simplify right side
    358.83x = 173,374.35
  5. Step 5: Solve for x
    x = 173,374.35/358.83
  6. Step 6: Final answer
    x = 483.17

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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.