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Finding the Fourth Proportional to 506.93, 762.08 and 416.30

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Solution

The fourth proportional to 506.93, 762.08 and 416.30 is: 625.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.93 : 762.08 = 416.30 : x
  2. Step 2: Convert to fraction form
    506.93/762.08 = 416.30/x
  3. Step 3: Cross multiply
    506.93x = 762.08 × 416.30
  4. Step 4: Simplify right side
    506.93x = 317,248.01
  5. Step 5: Solve for x
    x = 317,248.01/506.93
  6. Step 6: Final answer
    x = 625.83

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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.