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Finding the Fourth Proportional to 532.96, 798.84 and 442.04

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Solution

The fourth proportional to 532.96, 798.84 and 442.04 is: 662.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.96 : 798.84 = 442.04 : x
  2. Step 2: Convert to fraction form
    532.96/798.84 = 442.04/x
  3. Step 3: Cross multiply
    532.96x = 798.84 × 442.04
  4. Step 4: Simplify right side
    532.96x = 353,119.23
  5. Step 5: Solve for x
    x = 353,119.23/532.96
  6. Step 6: Final answer
    x = 662.56

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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.