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Finding the Fourth Proportional to 597.19, 824.08 and 335.16

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Solution

The fourth proportional to 597.19, 824.08 and 335.16 is: 462.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.19 : 824.08 = 335.16 : x
  2. Step 2: Convert to fraction form
    597.19/824.08 = 335.16/x
  3. Step 3: Cross multiply
    597.19x = 824.08 × 335.16
  4. Step 4: Simplify right side
    597.19x = 276,195.14
  5. Step 5: Solve for x
    x = 276,195.14/597.19
  6. Step 6: Final answer
    x = 462.49

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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.