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Finding the Fourth Proportional to 601.71, 903.59 and 328.33

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Solution

The fourth proportional to 601.71, 903.59 and 328.33 is: 493.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.71 : 903.59 = 328.33 : x
  2. Step 2: Convert to fraction form
    601.71/903.59 = 328.33/x
  3. Step 3: Cross multiply
    601.71x = 903.59 × 328.33
  4. Step 4: Simplify right side
    601.71x = 296,675.70
  5. Step 5: Solve for x
    x = 296,675.70/601.71
  6. Step 6: Final answer
    x = 493.05

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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.