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Finding the Fourth Proportional to 476.71, 714.85 and 294.05

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Solution

The fourth proportional to 476.71, 714.85 and 294.05 is: 440.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.71 : 714.85 = 294.05 : x
  2. Step 2: Convert to fraction form
    476.71/714.85 = 294.05/x
  3. Step 3: Cross multiply
    476.71x = 714.85 × 294.05
  4. Step 4: Simplify right side
    476.71x = 210,201.64
  5. Step 5: Solve for x
    x = 210,201.64/476.71
  6. Step 6: Final answer
    x = 440.94

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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.