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Finding the Fourth Proportional to 597.05, 824.03 and 348.51

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Solution

The fourth proportional to 597.05, 824.03 and 348.51 is: 481.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.05 : 824.03 = 348.51 : x
  2. Step 2: Convert to fraction form
    597.05/824.03 = 348.51/x
  3. Step 3: Cross multiply
    597.05x = 824.03 × 348.51
  4. Step 4: Simplify right side
    597.05x = 287,180.95
  5. Step 5: Solve for x
    x = 287,180.95/597.05
  6. Step 6: Final answer
    x = 481.00

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