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Finding the Fourth Proportional to 998, 1,497.28 and 420.92

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Solution

The fourth proportional to 998, 1,497.28 and 420.92 is: 631.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    998 : 1,497.28 = 420.92 : x
  2. Step 2: Convert to fraction form
    998/1,497.28 = 420.92/x
  3. Step 3: Cross multiply
    998x = 1,497.28 × 420.92
  4. Step 4: Simplify right side
    998x = 630,235.10
  5. Step 5: Solve for x
    x = 630,235.10/998
  6. Step 6: Final answer
    x = 631.50

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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.