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Finding the Fourth Proportional to 501.64, 751.84 and 296

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Solution

The fourth proportional to 501.64, 751.84 and 296 is: 443.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.64 : 751.84 = 296 : x
  2. Step 2: Convert to fraction form
    501.64/751.84 = 296/x
  3. Step 3: Cross multiply
    501.64x = 751.84 × 296
  4. Step 4: Simplify right side
    501.64x = 222,544.64
  5. Step 5: Solve for x
    x = 222,544.64/501.64
  6. Step 6: Final answer
    x = 443.63

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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.