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Finding the Fourth Proportional to 313.84, 469.86 and 216.10

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Solution

The fourth proportional to 313.84, 469.86 and 216.10 is: 323.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.84 : 469.86 = 216.10 : x
  2. Step 2: Convert to fraction form
    313.84/469.86 = 216.10/x
  3. Step 3: Cross multiply
    313.84x = 469.86 × 216.10
  4. Step 4: Simplify right side
    313.84x = 101,536.75
  5. Step 5: Solve for x
    x = 101,536.75/313.84
  6. Step 6: Final answer
    x = 323.53

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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.