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Finding the Fourth Proportional to 657.75, 907.47 and 377.89

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Solution

The fourth proportional to 657.75, 907.47 and 377.89 is: 521.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.75 : 907.47 = 377.89 : x
  2. Step 2: Convert to fraction form
    657.75/907.47 = 377.89/x
  3. Step 3: Cross multiply
    657.75x = 907.47 × 377.89
  4. Step 4: Simplify right side
    657.75x = 342,923.84
  5. Step 5: Solve for x
    x = 342,923.84/657.75
  6. Step 6: Final answer
    x = 521.36

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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.