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Finding the Fourth Proportional to 421.13, 581.00 and 310.86

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Solution

The fourth proportional to 421.13, 581.00 and 310.86 is: 428.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.13 : 581.00 = 310.86 : x
  2. Step 2: Convert to fraction form
    421.13/581.00 = 310.86/x
  3. Step 3: Cross multiply
    421.13x = 581.00 × 310.86
  4. Step 4: Simplify right side
    421.13x = 180,608.11
  5. Step 5: Solve for x
    x = 180,608.11/421.13
  6. Step 6: Final answer
    x = 428.86

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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.