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Finding the Fourth Proportional to 597.37, 823.61 and 387.18

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Solution

The fourth proportional to 597.37, 823.61 and 387.18 is: 533.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.37 : 823.61 = 387.18 : x
  2. Step 2: Convert to fraction form
    597.37/823.61 = 387.18/x
  3. Step 3: Cross multiply
    597.37x = 823.61 × 387.18
  4. Step 4: Simplify right side
    597.37x = 318,885.32
  5. Step 5: Solve for x
    x = 318,885.32/597.37
  6. Step 6: Final answer
    x = 533.82

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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.