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Finding the Fourth Proportional to 421.85, 582.12 and 392.46

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Solution

The fourth proportional to 421.85, 582.12 and 392.46 is: 541.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.85 : 582.12 = 392.46 : x
  2. Step 2: Convert to fraction form
    421.85/582.12 = 392.46/x
  3. Step 3: Cross multiply
    421.85x = 582.12 × 392.46
  4. Step 4: Simplify right side
    421.85x = 228,460.31
  5. Step 5: Solve for x
    x = 228,460.31/421.85
  6. Step 6: Final answer
    x = 541.57

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Why These Related Problems?

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