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Finding the Fourth Proportional to 623.67, 935.78 and 334.77

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Solution

The fourth proportional to 623.67, 935.78 and 334.77 is: 502.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.67 : 935.78 = 334.77 : x
  2. Step 2: Convert to fraction form
    623.67/935.78 = 334.77/x
  3. Step 3: Cross multiply
    623.67x = 935.78 × 334.77
  4. Step 4: Simplify right side
    623.67x = 313,269.40
  5. Step 5: Solve for x
    x = 313,269.40/623.67
  6. Step 6: Final answer
    x = 502.30

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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.