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Finding the Fourth Proportional to 416.61, 624.02 and 351.45

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Solution

The fourth proportional to 416.61, 624.02 and 351.45 is: 526.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.61 : 624.02 = 351.45 : x
  2. Step 2: Convert to fraction form
    416.61/624.02 = 351.45/x
  3. Step 3: Cross multiply
    416.61x = 624.02 × 351.45
  4. Step 4: Simplify right side
    416.61x = 219,310.07
  5. Step 5: Solve for x
    x = 219,310.07/416.61
  6. Step 6: Final answer
    x = 526.42

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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.