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Finding the Fourth Proportional to 313.55, 469.51 and 216.35

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Solution

The fourth proportional to 313.55, 469.51 and 216.35 is: 323.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.55 : 469.51 = 216.35 : x
  2. Step 2: Convert to fraction form
    313.55/469.51 = 216.35/x
  3. Step 3: Cross multiply
    313.55x = 469.51 × 216.35
  4. Step 4: Simplify right side
    313.55x = 101,575.60
  5. Step 5: Solve for x
    x = 101,575.60/313.55
  6. Step 6: Final answer
    x = 323.96

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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.