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Finding the Fourth Proportional to 623.02, 933.32 and 314.12

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Solution

The fourth proportional to 623.02, 933.32 and 314.12 is: 470.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.02 : 933.32 = 314.12 : x
  2. Step 2: Convert to fraction form
    623.02/933.32 = 314.12/x
  3. Step 3: Cross multiply
    623.02x = 933.32 × 314.12
  4. Step 4: Simplify right side
    623.02x = 293,174.48
  5. Step 5: Solve for x
    x = 293,174.48/623.02
  6. Step 6: Final answer
    x = 470.57

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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.