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Finding the Fourth Proportional to 474.70, 712.93 and 283.50

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Solution

The fourth proportional to 474.70, 712.93 and 283.50 is: 425.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.70 : 712.93 = 283.50 : x
  2. Step 2: Convert to fraction form
    474.70/712.93 = 283.50/x
  3. Step 3: Cross multiply
    474.70x = 712.93 × 283.50
  4. Step 4: Simplify right side
    474.70x = 202,115.66
  5. Step 5: Solve for x
    x = 202,115.66/474.70
  6. Step 6: Final answer
    x = 425.78

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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.