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Finding the Fourth Proportional to 657.73, 907.24 and 405.53

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Solution

The fourth proportional to 657.73, 907.24 and 405.53 is: 559.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.73 : 907.24 = 405.53 : x
  2. Step 2: Convert to fraction form
    657.73/907.24 = 405.53/x
  3. Step 3: Cross multiply
    657.73x = 907.24 × 405.53
  4. Step 4: Simplify right side
    657.73x = 367,913.04
  5. Step 5: Solve for x
    x = 367,913.04/657.73
  6. Step 6: Final answer
    x = 559.37

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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.