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Finding the Fourth Proportional to 523.80, 785.70 and 414.45

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Solution

The fourth proportional to 523.80, 785.70 and 414.45 is: 621.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.80 : 785.70 = 414.45 : x
  2. Step 2: Convert to fraction form
    523.80/785.70 = 414.45/x
  3. Step 3: Cross multiply
    523.80x = 785.70 × 414.45
  4. Step 4: Simplify right side
    523.80x = 325,633.37
  5. Step 5: Solve for x
    x = 325,633.37/523.80
  6. Step 6: Final answer
    x = 621.68

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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.