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Finding the Fourth Proportional to 459.51, 687.33 and 328.68

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Solution

The fourth proportional to 459.51, 687.33 and 328.68 is: 491.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.51 : 687.33 = 328.68 : x
  2. Step 2: Convert to fraction form
    459.51/687.33 = 328.68/x
  3. Step 3: Cross multiply
    459.51x = 687.33 × 328.68
  4. Step 4: Simplify right side
    459.51x = 225,911.62
  5. Step 5: Solve for x
    x = 225,911.62/459.51
  6. Step 6: Final answer
    x = 491.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.