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Finding the Fourth Proportional to 320.10, 441.27 and 307.50

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Solution

The fourth proportional to 320.10, 441.27 and 307.50 is: 423.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.10 : 441.27 = 307.50 : x
  2. Step 2: Convert to fraction form
    320.10/441.27 = 307.50/x
  3. Step 3: Cross multiply
    320.10x = 441.27 × 307.50
  4. Step 4: Simplify right side
    320.10x = 135,690.53
  5. Step 5: Solve for x
    x = 135,690.53/320.10
  6. Step 6: Final answer
    x = 423.90

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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.