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Finding the Fourth Proportional to 597.57, 824.42 and 440.58

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Solution

The fourth proportional to 597.57, 824.42 and 440.58 is: 607.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.57 : 824.42 = 440.58 : x
  2. Step 2: Convert to fraction form
    597.57/824.42 = 440.58/x
  3. Step 3: Cross multiply
    597.57x = 824.42 × 440.58
  4. Step 4: Simplify right side
    597.57x = 363,219.84
  5. Step 5: Solve for x
    x = 363,219.84/597.57
  6. Step 6: Final answer
    x = 607.83

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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.