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Finding the Fourth Proportional to 657.83, 907.73 and 378.03

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Solution

The fourth proportional to 657.83, 907.73 and 378.03 is: 521.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.83 : 907.73 = 378.03 : x
  2. Step 2: Convert to fraction form
    657.83/907.73 = 378.03/x
  3. Step 3: Cross multiply
    657.83x = 907.73 × 378.03
  4. Step 4: Simplify right side
    657.83x = 343,147.28
  5. Step 5: Solve for x
    x = 343,147.28/657.83
  6. Step 6: Final answer
    x = 521.64

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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.