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Finding the Fourth Proportional to 597.48, 825.59 and 467.47

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Solution

The fourth proportional to 597.48, 825.59 and 467.47 is: 645.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.48 : 825.59 = 467.47 : x
  2. Step 2: Convert to fraction form
    597.48/825.59 = 467.47/x
  3. Step 3: Cross multiply
    597.48x = 825.59 × 467.47
  4. Step 4: Simplify right side
    597.48x = 385,936.22
  5. Step 5: Solve for x
    x = 385,936.22/597.48
  6. Step 6: Final answer
    x = 645.95

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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.