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Finding the Fourth Proportional to 597.80, 824.72 and 480.07

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Solution

The fourth proportional to 597.80, 824.72 and 480.07 is: 662.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.80 : 824.72 = 480.07 : x
  2. Step 2: Convert to fraction form
    597.80/824.72 = 480.07/x
  3. Step 3: Cross multiply
    597.80x = 824.72 × 480.07
  4. Step 4: Simplify right side
    597.80x = 395,924.66
  5. Step 5: Solve for x
    x = 395,924.66/597.80
  6. Step 6: Final answer
    x = 662.31

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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.