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Finding the Fourth Proportional to 622.74, 933.57 and 314.28

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Solution

The fourth proportional to 622.74, 933.57 and 314.28 is: 471.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.74 : 933.57 = 314.28 : x
  2. Step 2: Convert to fraction form
    622.74/933.57 = 314.28/x
  3. Step 3: Cross multiply
    622.74x = 933.57 × 314.28
  4. Step 4: Simplify right side
    622.74x = 293,402.38
  5. Step 5: Solve for x
    x = 293,402.38/622.74
  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.