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Finding the Fourth Proportional to 648.10, 893.34 and 497.03

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Solution

The fourth proportional to 648.10, 893.34 and 497.03 is: 685.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.10 : 893.34 = 497.03 : x
  2. Step 2: Convert to fraction form
    648.10/893.34 = 497.03/x
  3. Step 3: Cross multiply
    648.10x = 893.34 × 497.03
  4. Step 4: Simplify right side
    648.10x = 444,019.01
  5. Step 5: Solve for x
    x = 444,019.01/648.10
  6. Step 6: Final answer
    x = 685.11

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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.