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Finding the Fourth Proportional to 468.79, 701.75 and 294.86

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Solution

The fourth proportional to 468.79, 701.75 and 294.86 is: 441.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.79 : 701.75 = 294.86 : x
  2. Step 2: Convert to fraction form
    468.79/701.75 = 294.86/x
  3. Step 3: Cross multiply
    468.79x = 701.75 × 294.86
  4. Step 4: Simplify right side
    468.79x = 206,920.50
  5. Step 5: Solve for x
    x = 206,920.50/468.79
  6. Step 6: Final answer
    x = 441.40

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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.