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Finding the Fourth Proportional to 657.99, 907.92 and 422.01

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Solution

The fourth proportional to 657.99, 907.92 and 422.01 is: 582.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.99 : 907.92 = 422.01 : x
  2. Step 2: Convert to fraction form
    657.99/907.92 = 422.01/x
  3. Step 3: Cross multiply
    657.99x = 907.92 × 422.01
  4. Step 4: Simplify right side
    657.99x = 383,151.32
  5. Step 5: Solve for x
    x = 383,151.32/657.99
  6. Step 6: Final answer
    x = 582.31

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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.