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Finding the Fourth Proportional to 623.18, 933.96 and 294.01

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Solution

The fourth proportional to 623.18, 933.96 and 294.01 is: 440.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.18 : 933.96 = 294.01 : x
  2. Step 2: Convert to fraction form
    623.18/933.96 = 294.01/x
  3. Step 3: Cross multiply
    623.18x = 933.96 × 294.01
  4. Step 4: Simplify right side
    623.18x = 274,588.91
  5. Step 5: Solve for x
    x = 274,588.91/623.18
  6. Step 6: Final answer
    x = 440.63

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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.