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Finding the Fourth Proportional to 329.60, 492.22 and 284.06

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Solution

The fourth proportional to 329.60, 492.22 and 284.06 is: 424.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.60 : 492.22 = 284.06 : x
  2. Step 2: Convert to fraction form
    329.60/492.22 = 284.06/x
  3. Step 3: Cross multiply
    329.60x = 492.22 × 284.06
  4. Step 4: Simplify right side
    329.60x = 139,820.01
  5. Step 5: Solve for x
    x = 139,820.01/329.60
  6. Step 6: Final answer
    x = 424.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.