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Finding the Fourth Proportional to 416.24, 627.46 and 358.93

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Solution

The fourth proportional to 416.24, 627.46 and 358.93 is: 541.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.24 : 627.46 = 358.93 : x
  2. Step 2: Convert to fraction form
    416.24/627.46 = 358.93/x
  3. Step 3: Cross multiply
    416.24x = 627.46 × 358.93
  4. Step 4: Simplify right side
    416.24x = 225,214.22
  5. Step 5: Solve for x
    x = 225,214.22/416.24
  6. Step 6: Final answer
    x = 541.07

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.