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Finding the Fourth Proportional to 421.24, 632.52 and 361

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Solution

The fourth proportional to 421.24, 632.52 and 361 is: 542.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.24 : 632.52 = 361 : x
  2. Step 2: Convert to fraction form
    421.24/632.52 = 361/x
  3. Step 3: Cross multiply
    421.24x = 632.52 × 361
  4. Step 4: Simplify right side
    421.24x = 228,339.72
  5. Step 5: Solve for x
    x = 228,339.72/421.24
  6. Step 6: Final answer
    x = 542.07

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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.