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Finding the Fourth Proportional to 542.45, 812.29 and 359.29

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Solution

The fourth proportional to 542.45, 812.29 and 359.29 is: 538.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.45 : 812.29 = 359.29 : x
  2. Step 2: Convert to fraction form
    542.45/812.29 = 359.29/x
  3. Step 3: Cross multiply
    542.45x = 812.29 × 359.29
  4. Step 4: Simplify right side
    542.45x = 291,847.67
  5. Step 5: Solve for x
    x = 291,847.67/542.45
  6. Step 6: Final answer
    x = 538.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.