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Finding the Fourth Proportional to 476.50, 714.81 and 134.50

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Solution

The fourth proportional to 476.50, 714.81 and 134.50 is: 201.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.50 : 714.81 = 134.50 : x
  2. Step 2: Convert to fraction form
    476.50/714.81 = 134.50/x
  3. Step 3: Cross multiply
    476.50x = 714.81 × 134.50
  4. Step 4: Simplify right side
    476.50x = 96,141.95
  5. Step 5: Solve for x
    x = 96,141.95/476.50
  6. Step 6: Final answer
    x = 201.77

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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.