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Finding the Fourth Proportional to 464.46, 695.27 and 334.46

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Solution

The fourth proportional to 464.46, 695.27 and 334.46 is: 500.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.46 : 695.27 = 334.46 : x
  2. Step 2: Convert to fraction form
    464.46/695.27 = 334.46/x
  3. Step 3: Cross multiply
    464.46x = 695.27 × 334.46
  4. Step 4: Simplify right side
    464.46x = 232,540.00
  5. Step 5: Solve for x
    x = 232,540.00/464.46
  6. Step 6: Final answer
    x = 500.67

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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.