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Finding the Fourth Proportional to 622.55, 933.86 and 314.04

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Solution

The fourth proportional to 622.55, 933.86 and 314.04 is: 471.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.55 : 933.86 = 314.04 : x
  2. Step 2: Convert to fraction form
    622.55/933.86 = 314.04/x
  3. Step 3: Cross multiply
    622.55x = 933.86 × 314.04
  4. Step 4: Simplify right side
    622.55x = 293,267.82
  5. Step 5: Solve for x
    x = 293,267.82/622.55
  6. Step 6: Final answer
    x = 471.08

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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.