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Finding the Fourth Proportional to 468.17, 700.58 and 338.31

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Solution

The fourth proportional to 468.17, 700.58 and 338.31 is: 506.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.17 : 700.58 = 338.31 : x
  2. Step 2: Convert to fraction form
    468.17/700.58 = 338.31/x
  3. Step 3: Cross multiply
    468.17x = 700.58 × 338.31
  4. Step 4: Simplify right side
    468.17x = 237,013.22
  5. Step 5: Solve for x
    x = 237,013.22/468.17
  6. Step 6: Final answer
    x = 506.25

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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.