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Finding the Fourth Proportional to 443.86, 666.13 and 307.86

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Solution

The fourth proportional to 443.86, 666.13 and 307.86 is: 462.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.86 : 666.13 = 307.86 : x
  2. Step 2: Convert to fraction form
    443.86/666.13 = 307.86/x
  3. Step 3: Cross multiply
    443.86x = 666.13 × 307.86
  4. Step 4: Simplify right side
    443.86x = 205,071.45
  5. Step 5: Solve for x
    x = 205,071.45/443.86
  6. Step 6: Final answer
    x = 462.02

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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.