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Finding the Fourth Proportional to 623.63, 933.54 and 416.54

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Solution

The fourth proportional to 623.63, 933.54 and 416.54 is: 623.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.63 : 933.54 = 416.54 : x
  2. Step 2: Convert to fraction form
    623.63/933.54 = 416.54/x
  3. Step 3: Cross multiply
    623.63x = 933.54 × 416.54
  4. Step 4: Simplify right side
    623.63x = 388,852.08
  5. Step 5: Solve for x
    x = 388,852.08/623.63
  6. Step 6: Final answer
    x = 623.54

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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.