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Finding the Fourth Proportional to 655.63, 905.04 and 498.29

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Solution

The fourth proportional to 655.63, 905.04 and 498.29 is: 687.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.63 : 905.04 = 498.29 : x
  2. Step 2: Convert to fraction form
    655.63/905.04 = 498.29/x
  3. Step 3: Cross multiply
    655.63x = 905.04 × 498.29
  4. Step 4: Simplify right side
    655.63x = 450,967.86
  5. Step 5: Solve for x
    x = 450,967.86/655.63
  6. Step 6: Final answer
    x = 687.84

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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.