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Finding the Fourth Proportional to 622.03, 933.20 and 314.05

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Solution

The fourth proportional to 622.03, 933.20 and 314.05 is: 471.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.03 : 933.20 = 314.05 : x
  2. Step 2: Convert to fraction form
    622.03/933.20 = 314.05/x
  3. Step 3: Cross multiply
    622.03x = 933.20 × 314.05
  4. Step 4: Simplify right side
    622.03x = 293,071.46
  5. Step 5: Solve for x
    x = 293,071.46/622.03
  6. Step 6: Final answer
    x = 471.15

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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.