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Finding the Fourth Proportional to 501.26, 752.46 and 293.10

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Solution

The fourth proportional to 501.26, 752.46 and 293.10 is: 439.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.26 : 752.46 = 293.10 : x
  2. Step 2: Convert to fraction form
    501.26/752.46 = 293.10/x
  3. Step 3: Cross multiply
    501.26x = 752.46 × 293.10
  4. Step 4: Simplify right side
    501.26x = 220,546.03
  5. Step 5: Solve for x
    x = 220,546.03/501.26
  6. Step 6: Final answer
    x = 439.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.