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Finding the Fourth Proportional to 621.58, 931.68 and 416.64

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Solution

The fourth proportional to 621.58, 931.68 and 416.64 is: 624.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.58 : 931.68 = 416.64 : x
  2. Step 2: Convert to fraction form
    621.58/931.68 = 416.64/x
  3. Step 3: Cross multiply
    621.58x = 931.68 × 416.64
  4. Step 4: Simplify right side
    621.58x = 388,175.16
  5. Step 5: Solve for x
    x = 388,175.16/621.58
  6. Step 6: Final answer
    x = 624.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.