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Finding the Fourth Proportional to 399.12, 597.60 and 347.52

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Solution

The fourth proportional to 399.12, 597.60 and 347.52 is: 520.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.12 : 597.60 = 347.52 : x
  2. Step 2: Convert to fraction form
    399.12/597.60 = 347.52/x
  3. Step 3: Cross multiply
    399.12x = 597.60 × 347.52
  4. Step 4: Simplify right side
    399.12x = 207,677.95
  5. Step 5: Solve for x
    x = 207,677.95/399.12
  6. Step 6: Final answer
    x = 520.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.