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Finding the Fourth Proportional to 465.13, 633.68 and 455.64

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Solution

The fourth proportional to 465.13, 633.68 and 455.64 is: 620.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.13 : 633.68 = 455.64 : x
  2. Step 2: Convert to fraction form
    465.13/633.68 = 455.64/x
  3. Step 3: Cross multiply
    465.13x = 633.68 × 455.64
  4. Step 4: Simplify right side
    465.13x = 288,729.96
  5. Step 5: Solve for x
    x = 288,729.96/465.13
  6. Step 6: Final answer
    x = 620.75

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.