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Finding the Fourth Proportional to 504.59, 756.92 and 212.06

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Solution

The fourth proportional to 504.59, 756.92 and 212.06 is: 318.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.59 : 756.92 = 212.06 : x
  2. Step 2: Convert to fraction form
    504.59/756.92 = 212.06/x
  3. Step 3: Cross multiply
    504.59x = 756.92 × 212.06
  4. Step 4: Simplify right side
    504.59x = 160,512.46
  5. Step 5: Solve for x
    x = 160,512.46/504.59
  6. Step 6: Final answer
    x = 318.10

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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.