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Finding the Fourth Proportional to 421.32, 581.22 and 363

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Solution

The fourth proportional to 421.32, 581.22 and 363 is: 500.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.32 : 581.22 = 363 : x
  2. Step 2: Convert to fraction form
    421.32/581.22 = 363/x
  3. Step 3: Cross multiply
    421.32x = 581.22 × 363
  4. Step 4: Simplify right side
    421.32x = 210,982.86
  5. Step 5: Solve for x
    x = 210,982.86/421.32
  6. Step 6: Final answer
    x = 500.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.