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Finding the Fourth Proportional to 320.61, 444.69 and 307.65

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Solution

The fourth proportional to 320.61, 444.69 and 307.65 is: 426.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.61 : 444.69 = 307.65 : x
  2. Step 2: Convert to fraction form
    320.61/444.69 = 307.65/x
  3. Step 3: Cross multiply
    320.61x = 444.69 × 307.65
  4. Step 4: Simplify right side
    320.61x = 136,808.88
  5. Step 5: Solve for x
    x = 136,808.88/320.61
  6. Step 6: Final answer
    x = 426.71

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.