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Finding the Fourth Proportional to 623.90, 933.53 and 376.22

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Solution

The fourth proportional to 623.90, 933.53 and 376.22 is: 562.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.90 : 933.53 = 376.22 : x
  2. Step 2: Convert to fraction form
    623.90/933.53 = 376.22/x
  3. Step 3: Cross multiply
    623.90x = 933.53 × 376.22
  4. Step 4: Simplify right side
    623.90x = 351,206.11
  5. Step 5: Solve for x
    x = 351,206.11/623.90
  6. Step 6: Final answer
    x = 562.93

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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.