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Finding the Fourth Proportional to 622.51, 933.55 and 314.16

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Solution

The fourth proportional to 622.51, 933.55 and 314.16 is: 471.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.51 : 933.55 = 314.16 : x
  2. Step 2: Convert to fraction form
    622.51/933.55 = 314.16/x
  3. Step 3: Cross multiply
    622.51x = 933.55 × 314.16
  4. Step 4: Simplify right side
    622.51x = 293,285.92
  5. Step 5: Solve for x
    x = 293,285.92/622.51
  6. Step 6: Final answer
    x = 471.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.