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Finding the Fourth Proportional to 397.10, 596.16 and 305.86

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Solution

The fourth proportional to 397.10, 596.16 and 305.86 is: 459.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.10 : 596.16 = 305.86 : x
  2. Step 2: Convert to fraction form
    397.10/596.16 = 305.86/x
  3. Step 3: Cross multiply
    397.10x = 596.16 × 305.86
  4. Step 4: Simplify right side
    397.10x = 182,341.50
  5. Step 5: Solve for x
    x = 182,341.50/397.10
  6. Step 6: Final answer
    x = 459.18

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Why These Related Problems?

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