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Finding the Fourth Proportional to 623.01, 933.32 and 314.11

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Solution

The fourth proportional to 623.01, 933.32 and 314.11 is: 470.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.01 : 933.32 = 314.11 : x
  2. Step 2: Convert to fraction form
    623.01/933.32 = 314.11/x
  3. Step 3: Cross multiply
    623.01x = 933.32 × 314.11
  4. Step 4: Simplify right side
    623.01x = 293,165.15
  5. Step 5: Solve for x
    x = 293,165.15/623.01
  6. Step 6: Final answer
    x = 470.56

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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.