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Finding the Fourth Proportional to 604.75, 907.12 and 257.72

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Solution

The fourth proportional to 604.75, 907.12 and 257.72 is: 386.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.75 : 907.12 = 257.72 : x
  2. Step 2: Convert to fraction form
    604.75/907.12 = 257.72/x
  3. Step 3: Cross multiply
    604.75x = 907.12 × 257.72
  4. Step 4: Simplify right side
    604.75x = 233,779.48
  5. Step 5: Solve for x
    x = 233,779.48/604.75
  6. Step 6: Final answer
    x = 386.57

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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.