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Finding the Fourth Proportional to 622.14, 933.93 and 334.14

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Solution

The fourth proportional to 622.14, 933.93 and 334.14 is: 501.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.14 : 933.93 = 334.14 : x
  2. Step 2: Convert to fraction form
    622.14/933.93 = 334.14/x
  3. Step 3: Cross multiply
    622.14x = 933.93 × 334.14
  4. Step 4: Simplify right side
    622.14x = 312,063.37
  5. Step 5: Solve for x
    x = 312,063.37/622.14
  6. Step 6: Final answer
    x = 501.60

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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.