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Finding the Fourth Proportional to 523.51, 785.30 and 350.53

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Solution

The fourth proportional to 523.51, 785.30 and 350.53 is: 525.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.51 : 785.30 = 350.53 : x
  2. Step 2: Convert to fraction form
    523.51/785.30 = 350.53/x
  3. Step 3: Cross multiply
    523.51x = 785.30 × 350.53
  4. Step 4: Simplify right side
    523.51x = 275,267.49
  5. Step 5: Solve for x
    x = 275,267.49/523.51
  6. Step 6: Final answer
    x = 525.81

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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.