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Finding the Fourth Proportional to 500.50, 690.74 and 293.50

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Solution

The fourth proportional to 500.50, 690.74 and 293.50 is: 405.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.50 : 690.74 = 293.50 : x
  2. Step 2: Convert to fraction form
    500.50/690.74 = 293.50/x
  3. Step 3: Cross multiply
    500.50x = 690.74 × 293.50
  4. Step 4: Simplify right side
    500.50x = 202,732.19
  5. Step 5: Solve for x
    x = 202,732.19/500.50
  6. Step 6: Final answer
    x = 405.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.