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Finding the Fourth Proportional to 601.94, 902.58 and 277.00

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Solution

The fourth proportional to 601.94, 902.58 and 277.00 is: 415.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.94 : 902.58 = 277.00 : x
  2. Step 2: Convert to fraction form
    601.94/902.58 = 277.00/x
  3. Step 3: Cross multiply
    601.94x = 902.58 × 277.00
  4. Step 4: Simplify right side
    601.94x = 250,011.36
  5. Step 5: Solve for x
    x = 250,011.36/601.94
  6. Step 6: Final answer
    x = 415.34

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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.