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Finding the Fourth Proportional to 478.56, 714.12 and 474.96

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Solution

The fourth proportional to 478.56, 714.12 and 474.96 is: 708.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.56 : 714.12 = 474.96 : x
  2. Step 2: Convert to fraction form
    478.56/714.12 = 474.96/x
  3. Step 3: Cross multiply
    478.56x = 714.12 × 474.96
  4. Step 4: Simplify right side
    478.56x = 339,178.44
  5. Step 5: Solve for x
    x = 339,178.44/478.56
  6. Step 6: Final answer
    x = 708.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.