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Finding the Fourth Proportional to 459.90, 633.29 and 328.68

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Solution

The fourth proportional to 459.90, 633.29 and 328.68 is: 452.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.90 : 633.29 = 328.68 : x
  2. Step 2: Convert to fraction form
    459.90/633.29 = 328.68/x
  3. Step 3: Cross multiply
    459.90x = 633.29 × 328.68
  4. Step 4: Simplify right side
    459.90x = 208,148.11
  5. Step 5: Solve for x
    x = 208,148.11/459.90
  6. Step 6: Final answer
    x = 452.59

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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.