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Finding the Fourth Proportional to 468.90, 647.16 and 294.12

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Solution

The fourth proportional to 468.90, 647.16 and 294.12 is: 405.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.90 : 647.16 = 294.12 : x
  2. Step 2: Convert to fraction form
    468.90/647.16 = 294.12/x
  3. Step 3: Cross multiply
    468.90x = 647.16 × 294.12
  4. Step 4: Simplify right side
    468.90x = 190,342.70
  5. Step 5: Solve for x
    x = 190,342.70/468.90
  6. Step 6: Final answer
    x = 405.93

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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.