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Finding the Fourth Proportional to 657.03, 906.08 and 491.07

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Solution

The fourth proportional to 657.03, 906.08 and 491.07 is: 677.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.03 : 906.08 = 491.07 : x
  2. Step 2: Convert to fraction form
    657.03/906.08 = 491.07/x
  3. Step 3: Cross multiply
    657.03x = 906.08 × 491.07
  4. Step 4: Simplify right side
    657.03x = 444,946.25
  5. Step 5: Solve for x
    x = 444,946.25/657.03
  6. Step 6: Final answer
    x = 677.21

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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.