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Finding the Fourth Proportional to 657.79, 907.93 and 378.05

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Solution

The fourth proportional to 657.79, 907.93 and 378.05 is: 521.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.79 : 907.93 = 378.05 : x
  2. Step 2: Convert to fraction form
    657.79/907.93 = 378.05/x
  3. Step 3: Cross multiply
    657.79x = 907.93 × 378.05
  4. Step 4: Simplify right side
    657.79x = 343,241.85
  5. Step 5: Solve for x
    x = 343,241.85/657.79
  6. Step 6: Final answer
    x = 521.81

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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.