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Finding the Fourth Proportional to 622.60, 933.66 and 314.08

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Solution

The fourth proportional to 622.60, 933.66 and 314.08 is: 471.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.60 : 933.66 = 314.08 : x
  2. Step 2: Convert to fraction form
    622.60/933.66 = 314.08/x
  3. Step 3: Cross multiply
    622.60x = 933.66 × 314.08
  4. Step 4: Simplify right side
    622.60x = 293,243.93
  5. Step 5: Solve for x
    x = 293,243.93/622.60
  6. Step 6: Final answer
    x = 471.00

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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.