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Finding the Fourth Proportional to 463, 693.42 and 355

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Solution

The fourth proportional to 463, 693.42 and 355 is: 531.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    463 : 693.42 = 355 : x
  2. Step 2: Convert to fraction form
    463/693.42 = 355/x
  3. Step 3: Cross multiply
    463x = 693.42 × 355
  4. Step 4: Simplify right side
    463x = 246,164.10
  5. Step 5: Solve for x
    x = 246,164.10/463
  6. Step 6: Final answer
    x = 531.67

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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.