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Finding the Fourth Proportional to 474.15, 710.70 and 214.37

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Solution

The fourth proportional to 474.15, 710.70 and 214.37 is: 321.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.15 : 710.70 = 214.37 : x
  2. Step 2: Convert to fraction form
    474.15/710.70 = 214.37/x
  3. Step 3: Cross multiply
    474.15x = 710.70 × 214.37
  4. Step 4: Simplify right side
    474.15x = 152,353.67
  5. Step 5: Solve for x
    x = 152,353.67/474.15
  6. Step 6: Final answer
    x = 321.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.