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Finding the Fourth Proportional to 447.50, 617.14 and 307.40

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Solution

The fourth proportional to 447.50, 617.14 and 307.40 is: 423.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.50 : 617.14 = 307.40 : x
  2. Step 2: Convert to fraction form
    447.50/617.14 = 307.40/x
  3. Step 3: Cross multiply
    447.50x = 617.14 × 307.40
  4. Step 4: Simplify right side
    447.50x = 189,707.00
  5. Step 5: Solve for x
    x = 189,707.00/447.50
  6. Step 6: Final answer
    x = 423.93

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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.