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Finding the Fourth Proportional to 623.84, 935.44 and 299.12

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Solution

The fourth proportional to 623.84, 935.44 and 299.12 is: 448.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.84 : 935.44 = 299.12 : x
  2. Step 2: Convert to fraction form
    623.84/935.44 = 299.12/x
  3. Step 3: Cross multiply
    623.84x = 935.44 × 299.12
  4. Step 4: Simplify right side
    623.84x = 279,808.81
  5. Step 5: Solve for x
    x = 279,808.81/623.84
  6. Step 6: Final answer
    x = 448.53

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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.