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Finding the Fourth Proportional to 507.93, 758.37 and 416.40

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Solution

The fourth proportional to 507.93, 758.37 and 416.40 is: 621.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.93 : 758.37 = 416.40 : x
  2. Step 2: Convert to fraction form
    507.93/758.37 = 416.40/x
  3. Step 3: Cross multiply
    507.93x = 758.37 × 416.40
  4. Step 4: Simplify right side
    507.93x = 315,785.27
  5. Step 5: Solve for x
    x = 315,785.27/507.93
  6. Step 6: Final answer
    x = 621.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.