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Finding the Fourth Proportional to 601.83, 902.75 and 328.05

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Solution

The fourth proportional to 601.83, 902.75 and 328.05 is: 492.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.83 : 902.75 = 328.05 : x
  2. Step 2: Convert to fraction form
    601.83/902.75 = 328.05/x
  3. Step 3: Cross multiply
    601.83x = 902.75 × 328.05
  4. Step 4: Simplify right side
    601.83x = 296,145.50
  5. Step 5: Solve for x
    x = 296,145.50/601.83
  6. Step 6: Final answer
    x = 492.08

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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.