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Finding the Fourth Proportional to 597.54, 824.55 and 348.84

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Solution

The fourth proportional to 597.54, 824.55 and 348.84 is: 481.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.54 : 824.55 = 348.84 : x
  2. Step 2: Convert to fraction form
    597.54/824.55 = 348.84/x
  3. Step 3: Cross multiply
    597.54x = 824.55 × 348.84
  4. Step 4: Simplify right side
    597.54x = 287,636.02
  5. Step 5: Solve for x
    x = 287,636.02/597.54
  6. Step 6: Final answer
    x = 481.37

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1.5x scale

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.