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Finding the Fourth Proportional to 468.90, 647.28 and 364.02

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Solution

The fourth proportional to 468.90, 647.28 and 364.02 is: 502.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.90 : 647.28 = 364.02 : x
  2. Step 2: Convert to fraction form
    468.90/647.28 = 364.02/x
  3. Step 3: Cross multiply
    468.90x = 647.28 × 364.02
  4. Step 4: Simplify right side
    468.90x = 235,622.87
  5. Step 5: Solve for x
    x = 235,622.87/468.90
  6. Step 6: Final answer
    x = 502.50

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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.