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Finding the Fourth Proportional to 604.67, 907.14 and 257.93

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Solution

The fourth proportional to 604.67, 907.14 and 257.93 is: 386.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.67 : 907.14 = 257.93 : x
  2. Step 2: Convert to fraction form
    604.67/907.14 = 257.93/x
  3. Step 3: Cross multiply
    604.67x = 907.14 × 257.93
  4. Step 4: Simplify right side
    604.67x = 233,978.62
  5. Step 5: Solve for x
    x = 233,978.62/604.67
  6. Step 6: Final answer
    x = 386.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.