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Finding the Fourth Proportional to 467.99, 646.08 and 320.84

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Solution

The fourth proportional to 467.99, 646.08 and 320.84 is: 442.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.99 : 646.08 = 320.84 : x
  2. Step 2: Convert to fraction form
    467.99/646.08 = 320.84/x
  3. Step 3: Cross multiply
    467.99x = 646.08 × 320.84
  4. Step 4: Simplify right side
    467.99x = 207,288.31
  5. Step 5: Solve for x
    x = 207,288.31/467.99
  6. Step 6: Final answer
    x = 442.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.