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Finding the Fourth Proportional to 504.64, 757.01 and 212.09

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Solution

The fourth proportional to 504.64, 757.01 and 212.09 is: 318.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.64 : 757.01 = 212.09 : x
  2. Step 2: Convert to fraction form
    504.64/757.01 = 212.09/x
  3. Step 3: Cross multiply
    504.64x = 757.01 × 212.09
  4. Step 4: Simplify right side
    504.64x = 160,550.76
  5. Step 5: Solve for x
    x = 160,550.76/504.64
  6. Step 6: Final answer
    x = 318.15

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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.