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Finding the Fourth Proportional to 623.16, 933.66 and 334.80

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Solution

The fourth proportional to 623.16, 933.66 and 334.80 is: 501.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.16 : 933.66 = 334.80 : x
  2. Step 2: Convert to fraction form
    623.16/933.66 = 334.80/x
  3. Step 3: Cross multiply
    623.16x = 933.66 × 334.80
  4. Step 4: Simplify right side
    623.16x = 312,589.37
  5. Step 5: Solve for x
    x = 312,589.37/623.16
  6. Step 6: Final answer
    x = 501.62

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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.