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Finding the Fourth Proportional to 504.59, 757.05 and 212.12

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Solution

The fourth proportional to 504.59, 757.05 and 212.12 is: 318.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.59 : 757.05 = 212.12 : x
  2. Step 2: Convert to fraction form
    504.59/757.05 = 212.12/x
  3. Step 3: Cross multiply
    504.59x = 757.05 × 212.12
  4. Step 4: Simplify right side
    504.59x = 160,585.45
  5. Step 5: Solve for x
    x = 160,585.45/504.59
  6. Step 6: Final answer
    x = 318.25

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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.