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Finding the Fourth Proportional to 604.53, 906.80 and 497.03

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Solution

The fourth proportional to 604.53, 906.80 and 497.03 is: 745.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.53 : 906.80 = 497.03 : x
  2. Step 2: Convert to fraction form
    604.53/906.80 = 497.03/x
  3. Step 3: Cross multiply
    604.53x = 906.80 × 497.03
  4. Step 4: Simplify right side
    604.53x = 450,699.78
  5. Step 5: Solve for x
    x = 450,699.78/604.53
  6. Step 6: Final answer
    x = 745.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.