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Finding the Fourth Proportional to 523.45, 785.78 and 415.32

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Solution

The fourth proportional to 523.45, 785.78 and 415.32 is: 623.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.45 : 785.78 = 415.32 : x
  2. Step 2: Convert to fraction form
    523.45/785.78 = 415.32/x
  3. Step 3: Cross multiply
    523.45x = 785.78 × 415.32
  4. Step 4: Simplify right side
    523.45x = 326,350.15
  5. Step 5: Solve for x
    x = 326,350.15/523.45
  6. Step 6: Final answer
    x = 623.46

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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.