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Finding the Fourth Proportional to 657.78, 907.70 and 405.42

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Solution

The fourth proportional to 657.78, 907.70 and 405.42 is: 559.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.78 : 907.70 = 405.42 : x
  2. Step 2: Convert to fraction form
    657.78/907.70 = 405.42/x
  3. Step 3: Cross multiply
    657.78x = 907.70 × 405.42
  4. Step 4: Simplify right side
    657.78x = 367,999.73
  5. Step 5: Solve for x
    x = 367,999.73/657.78
  6. Step 6: Final answer
    x = 559.46

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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.