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Finding the Fourth Proportional to 500.93, 750.26 and 346.16

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Solution

The fourth proportional to 500.93, 750.26 and 346.16 is: 518.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.93 : 750.26 = 346.16 : x
  2. Step 2: Convert to fraction form
    500.93/750.26 = 346.16/x
  3. Step 3: Cross multiply
    500.93x = 750.26 × 346.16
  4. Step 4: Simplify right side
    500.93x = 259,704.52
  5. Step 5: Solve for x
    x = 259,704.52/500.93
  6. Step 6: Final answer
    x = 518.44

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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.