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Finding the Fourth Proportional to 465.64, 697.59 and 311.11

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Solution

The fourth proportional to 465.64, 697.59 and 311.11 is: 466.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.64 : 697.59 = 311.11 : x
  2. Step 2: Convert to fraction form
    465.64/697.59 = 311.11/x
  3. Step 3: Cross multiply
    465.64x = 697.59 × 311.11
  4. Step 4: Simplify right side
    465.64x = 217,027.22
  5. Step 5: Solve for x
    x = 217,027.22/465.64
  6. Step 6: Final answer
    x = 466.08

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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.