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Finding the Fourth Proportional to 905.84, 1,357.94 and 328.58

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Solution

The fourth proportional to 905.84, 1,357.94 and 328.58 is: 492.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.84 : 1,357.94 = 328.58 : x
  2. Step 2: Convert to fraction form
    905.84/1,357.94 = 328.58/x
  3. Step 3: Cross multiply
    905.84x = 1,357.94 × 328.58
  4. Step 4: Simplify right side
    905.84x = 446,196.14
  5. Step 5: Solve for x
    x = 446,196.14/905.84
  6. Step 6: Final answer
    x = 492.58

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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.