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Finding the Fourth Proportional to 657.68, 907.61 and 377.93

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Solution

The fourth proportional to 657.68, 907.61 and 377.93 is: 521.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.68 : 907.61 = 377.93 : x
  2. Step 2: Convert to fraction form
    657.68/907.61 = 377.93/x
  3. Step 3: Cross multiply
    657.68x = 907.61 × 377.93
  4. Step 4: Simplify right side
    657.68x = 343,006.62
  5. Step 5: Solve for x
    x = 343,006.62/657.68
  6. Step 6: Final answer
    x = 521.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.