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Finding the Fourth Proportional to 657.76, 907.62 and 378.04

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Solution

The fourth proportional to 657.76, 907.62 and 378.04 is: 521.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.76 : 907.62 = 378.04 : x
  2. Step 2: Convert to fraction form
    657.76/907.62 = 378.04/x
  3. Step 3: Cross multiply
    657.76x = 907.62 × 378.04
  4. Step 4: Simplify right side
    657.76x = 343,116.66
  5. Step 5: Solve for x
    x = 343,116.66/657.76
  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.