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Finding the Fourth Proportional to 476.84, 714.22 and 293.68

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Solution

The fourth proportional to 476.84, 714.22 and 293.68 is: 439.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.84 : 714.22 = 293.68 : x
  2. Step 2: Convert to fraction form
    476.84/714.22 = 293.68/x
  3. Step 3: Cross multiply
    476.84x = 714.22 × 293.68
  4. Step 4: Simplify right side
    476.84x = 209,752.29
  5. Step 5: Solve for x
    x = 209,752.29/476.84
  6. Step 6: Final answer
    x = 439.88

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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.