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Finding the Fourth Proportional to 657.76, 907.67 and 377.98

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Solution

The fourth proportional to 657.76, 907.67 and 377.98 is: 521.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.76 : 907.67 = 377.98 : x
  2. Step 2: Convert to fraction form
    657.76/907.67 = 377.98/x
  3. Step 3: Cross multiply
    657.76x = 907.67 × 377.98
  4. Step 4: Simplify right side
    657.76x = 343,079.78
  5. Step 5: Solve for x
    x = 343,079.78/657.76
  6. Step 6: Final answer
    x = 521.59

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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.