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Finding the Fourth Proportional to 358.02, 492.87 and 305.46

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Solution

The fourth proportional to 358.02, 492.87 and 305.46 is: 420.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.02 : 492.87 = 305.46 : x
  2. Step 2: Convert to fraction form
    358.02/492.87 = 305.46/x
  3. Step 3: Cross multiply
    358.02x = 492.87 × 305.46
  4. Step 4: Simplify right side
    358.02x = 150,552.07
  5. Step 5: Solve for x
    x = 150,552.07/358.02
  6. Step 6: Final answer
    x = 420.51

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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.