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Finding the Fourth Proportional to 597.12, 823.68 and 390.24

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Solution

The fourth proportional to 597.12, 823.68 and 390.24 is: 538.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.12 : 823.68 = 390.24 : x
  2. Step 2: Convert to fraction form
    597.12/823.68 = 390.24/x
  3. Step 3: Cross multiply
    597.12x = 823.68 × 390.24
  4. Step 4: Simplify right side
    597.12x = 321,432.88
  5. Step 5: Solve for x
    x = 321,432.88/597.12
  6. Step 6: Final answer
    x = 538.31

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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.