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Finding the Fourth Proportional to 623.15, 933.52 and 349.43

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Solution

The fourth proportional to 623.15, 933.52 and 349.43 is: 523.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.15 : 933.52 = 349.43 : x
  2. Step 2: Convert to fraction form
    623.15/933.52 = 349.43/x
  3. Step 3: Cross multiply
    623.15x = 933.52 × 349.43
  4. Step 4: Simplify right side
    623.15x = 326,199.89
  5. Step 5: Solve for x
    x = 326,199.89/623.15
  6. Step 6: Final answer
    x = 523.47

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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.