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Finding the Fourth Proportional to 523.81, 785.31 and 416.08

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Solution

The fourth proportional to 523.81, 785.31 and 416.08 is: 623.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.81 : 785.31 = 416.08 : x
  2. Step 2: Convert to fraction form
    523.81/785.31 = 416.08/x
  3. Step 3: Cross multiply
    523.81x = 785.31 × 416.08
  4. Step 4: Simplify right side
    523.81x = 326,751.78
  5. Step 5: Solve for x
    x = 326,751.78/523.81
  6. Step 6: Final answer
    x = 623.80

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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.