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Finding the Fourth Proportional to 669.22, 924.08 and 459.32

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Solution

The fourth proportional to 669.22, 924.08 and 459.32 is: 634.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.22 : 924.08 = 459.32 : x
  2. Step 2: Convert to fraction form
    669.22/924.08 = 459.32/x
  3. Step 3: Cross multiply
    669.22x = 924.08 × 459.32
  4. Step 4: Simplify right side
    669.22x = 424,441.51
  5. Step 5: Solve for x
    x = 424,441.51/669.22
  6. Step 6: Final answer
    x = 634.24

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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.