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Finding the Fourth Proportional to 466.65, 699.52 and 312.65

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Solution

The fourth proportional to 466.65, 699.52 and 312.65 is: 468.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.65 : 699.52 = 312.65 : x
  2. Step 2: Convert to fraction form
    466.65/699.52 = 312.65/x
  3. Step 3: Cross multiply
    466.65x = 699.52 × 312.65
  4. Step 4: Simplify right side
    466.65x = 218,704.93
  5. Step 5: Solve for x
    x = 218,704.93/466.65
  6. Step 6: Final answer
    x = 468.67

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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.