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Finding the Fourth Proportional to 468.56, 703.16 and 212.08

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Solution

The fourth proportional to 468.56, 703.16 and 212.08 is: 318.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.56 : 703.16 = 212.08 : x
  2. Step 2: Convert to fraction form
    468.56/703.16 = 212.08/x
  3. Step 3: Cross multiply
    468.56x = 703.16 × 212.08
  4. Step 4: Simplify right side
    468.56x = 149,126.17
  5. Step 5: Solve for x
    x = 149,126.17/468.56
  6. Step 6: Final answer
    x = 318.26

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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.