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Finding the Fourth Proportional to 475.08, 712.74 and 214.98

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Solution

The fourth proportional to 475.08, 712.74 and 214.98 is: 322.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.08 : 712.74 = 214.98 : x
  2. Step 2: Convert to fraction form
    475.08/712.74 = 214.98/x
  3. Step 3: Cross multiply
    475.08x = 712.74 × 214.98
  4. Step 4: Simplify right side
    475.08x = 153,224.85
  5. Step 5: Solve for x
    x = 153,224.85/475.08
  6. Step 6: Final answer
    x = 322.52

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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.