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Finding the Fourth Proportional to 476.74, 714.03 and 283.96

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Solution

The fourth proportional to 476.74, 714.03 and 283.96 is: 425.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.74 : 714.03 = 283.96 : x
  2. Step 2: Convert to fraction form
    476.74/714.03 = 283.96/x
  3. Step 3: Cross multiply
    476.74x = 714.03 × 283.96
  4. Step 4: Simplify right side
    476.74x = 202,753.11
  5. Step 5: Solve for x
    x = 202,753.11/476.74
  6. Step 6: Final answer
    x = 425.29

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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.