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Finding the Fourth Proportional to 604.94, 907.30 and 280.24

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Solution

The fourth proportional to 604.94, 907.30 and 280.24 is: 420.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.94 : 907.30 = 280.24 : x
  2. Step 2: Convert to fraction form
    604.94/907.30 = 280.24/x
  3. Step 3: Cross multiply
    604.94x = 907.30 × 280.24
  4. Step 4: Simplify right side
    604.94x = 254,261.75
  5. Step 5: Solve for x
    x = 254,261.75/604.94
  6. Step 6: Final answer
    x = 420.31

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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.