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Finding the Fourth Proportional to 532.08, 799.20 and 442.08

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Solution

The fourth proportional to 532.08, 799.20 and 442.08 is: 664.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.08 : 799.20 = 442.08 : x
  2. Step 2: Convert to fraction form
    532.08/799.20 = 442.08/x
  3. Step 3: Cross multiply
    532.08x = 799.20 × 442.08
  4. Step 4: Simplify right side
    532.08x = 353,310.34
  5. Step 5: Solve for x
    x = 353,310.34/532.08
  6. Step 6: Final answer
    x = 664.02

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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.