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Finding the Fourth Proportional to 623.98, 935.96 and 346.50

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Solution

The fourth proportional to 623.98, 935.96 and 346.50 is: 519.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.98 : 935.96 = 346.50 : x
  2. Step 2: Convert to fraction form
    623.98/935.96 = 346.50/x
  3. Step 3: Cross multiply
    623.98x = 935.96 × 346.50
  4. Step 4: Simplify right side
    623.98x = 324,308.41
  5. Step 5: Solve for x
    x = 324,308.41/623.98
  6. Step 6: Final answer
    x = 519.75

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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.