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Finding the Fourth Proportional to 622.52, 933.98 and 406.52

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Solution

The fourth proportional to 622.52, 933.98 and 406.52 is: 609.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.52 : 933.98 = 406.52 : x
  2. Step 2: Convert to fraction form
    622.52/933.98 = 406.52/x
  3. Step 3: Cross multiply
    622.52x = 933.98 × 406.52
  4. Step 4: Simplify right side
    622.52x = 379,681.55
  5. Step 5: Solve for x
    x = 379,681.55/622.52
  6. Step 6: Final answer
    x = 609.91

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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.