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Finding the Fourth Proportional to 623.35, 934.43 and 314.85

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Solution

The fourth proportional to 623.35, 934.43 and 314.85 is: 471.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.35 : 934.43 = 314.85 : x
  2. Step 2: Convert to fraction form
    623.35/934.43 = 314.85/x
  3. Step 3: Cross multiply
    623.35x = 934.43 × 314.85
  4. Step 4: Simplify right side
    623.35x = 294,205.29
  5. Step 5: Solve for x
    x = 294,205.29/623.35
  6. Step 6: Final answer
    x = 471.97

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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.