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Finding the Fourth Proportional to 557.46, 835.50 and 420.06

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Solution

The fourth proportional to 557.46, 835.50 and 420.06 is: 629.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.46 : 835.50 = 420.06 : x
  2. Step 2: Convert to fraction form
    557.46/835.50 = 420.06/x
  3. Step 3: Cross multiply
    557.46x = 835.50 × 420.06
  4. Step 4: Simplify right side
    557.46x = 350,960.13
  5. Step 5: Solve for x
    x = 350,960.13/557.46
  6. Step 6: Final answer
    x = 629.57

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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.