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Finding the Fourth Proportional to 468.56, 646.92 and 358.60

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Solution

The fourth proportional to 468.56, 646.92 and 358.60 is: 495.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.56 : 646.92 = 358.60 : x
  2. Step 2: Convert to fraction form
    468.56/646.92 = 358.60/x
  3. Step 3: Cross multiply
    468.56x = 646.92 × 358.60
  4. Step 4: Simplify right side
    468.56x = 231,983.89
  5. Step 5: Solve for x
    x = 231,983.89/468.56
  6. Step 6: Final answer
    x = 495.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.