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Finding the Fourth Proportional to 542.92, 812.66 and 420.84

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Solution

The fourth proportional to 542.92, 812.66 and 420.84 is: 629.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.92 : 812.66 = 420.84 : x
  2. Step 2: Convert to fraction form
    542.92/812.66 = 420.84/x
  3. Step 3: Cross multiply
    542.92x = 812.66 × 420.84
  4. Step 4: Simplify right side
    542.92x = 341,999.83
  5. Step 5: Solve for x
    x = 341,999.83/542.92
  6. Step 6: Final answer
    x = 629.93

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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.