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Finding the Fourth Proportional to 403.86, 606.10 and 312.33

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Solution

The fourth proportional to 403.86, 606.10 and 312.33 is: 468.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.86 : 606.10 = 312.33 : x
  2. Step 2: Convert to fraction form
    403.86/606.10 = 312.33/x
  3. Step 3: Cross multiply
    403.86x = 606.10 × 312.33
  4. Step 4: Simplify right side
    403.86x = 189,303.21
  5. Step 5: Solve for x
    x = 189,303.21/403.86
  6. Step 6: Final answer
    x = 468.73

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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.