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Finding the Fourth Proportional to 597.63, 824.02 and 448.44

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Solution

The fourth proportional to 597.63, 824.02 and 448.44 is: 618.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.63 : 824.02 = 448.44 : x
  2. Step 2: Convert to fraction form
    597.63/824.02 = 448.44/x
  3. Step 3: Cross multiply
    597.63x = 824.02 × 448.44
  4. Step 4: Simplify right side
    597.63x = 369,521.84
  5. Step 5: Solve for x
    x = 369,521.84/597.63
  6. Step 6: Final answer
    x = 618.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.