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Finding the Fourth Proportional to 648.16, 893.43 and 497.10

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Solution

The fourth proportional to 648.16, 893.43 and 497.10 is: 685.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.16 : 893.43 = 497.10 : x
  2. Step 2: Convert to fraction form
    648.16/893.43 = 497.10/x
  3. Step 3: Cross multiply
    648.16x = 893.43 × 497.10
  4. Step 4: Simplify right side
    648.16x = 444,124.05
  5. Step 5: Solve for x
    x = 444,124.05/648.16
  6. Step 6: Final answer
    x = 685.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.