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Finding the Fourth Proportional to 657.82, 907.85 and 378.15

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Solution

The fourth proportional to 657.82, 907.85 and 378.15 is: 521.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.82 : 907.85 = 378.15 : x
  2. Step 2: Convert to fraction form
    657.82/907.85 = 378.15/x
  3. Step 3: Cross multiply
    657.82x = 907.85 × 378.15
  4. Step 4: Simplify right side
    657.82x = 343,303.48
  5. Step 5: Solve for x
    x = 343,303.48/657.82
  6. Step 6: Final answer
    x = 521.88

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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.