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Finding the Fourth Proportional to 623.54, 934.46 and 298.58

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Solution

The fourth proportional to 623.54, 934.46 and 298.58 is: 447.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.54 : 934.46 = 298.58 : x
  2. Step 2: Convert to fraction form
    623.54/934.46 = 298.58/x
  3. Step 3: Cross multiply
    623.54x = 934.46 × 298.58
  4. Step 4: Simplify right side
    623.54x = 279,011.07
  5. Step 5: Solve for x
    x = 279,011.07/623.54
  6. Step 6: Final answer
    x = 447.46

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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.