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Finding the Fourth Proportional to 657.84, 907.80 and 378.09

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Solution

The fourth proportional to 657.84, 907.80 and 378.09 is: 521.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.84 : 907.80 = 378.09 : x
  2. Step 2: Convert to fraction form
    657.84/907.80 = 378.09/x
  3. Step 3: Cross multiply
    657.84x = 907.80 × 378.09
  4. Step 4: Simplify right side
    657.84x = 343,230.10
  5. Step 5: Solve for x
    x = 343,230.10/657.84
  6. Step 6: Final answer
    x = 521.75

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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.