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Finding the Fourth Proportional to 474.90, 712.56 and 214.76

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Solution

The fourth proportional to 474.90, 712.56 and 214.76 is: 322.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.90 : 712.56 = 214.76 : x
  2. Step 2: Convert to fraction form
    474.90/712.56 = 214.76/x
  3. Step 3: Cross multiply
    474.90x = 712.56 × 214.76
  4. Step 4: Simplify right side
    474.90x = 153,029.39
  5. Step 5: Solve for x
    x = 153,029.39/474.90
  6. Step 6: Final answer
    x = 322.23

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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.