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Finding the Fourth Proportional to 462.99, 693.41 and 421.98

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Solution

The fourth proportional to 462.99, 693.41 and 421.98 is: 631.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.99 : 693.41 = 421.98 : x
  2. Step 2: Convert to fraction form
    462.99/693.41 = 421.98/x
  3. Step 3: Cross multiply
    462.99x = 693.41 × 421.98
  4. Step 4: Simplify right side
    462.99x = 292,603.04
  5. Step 5: Solve for x
    x = 292,603.04/462.99
  6. Step 6: Final answer
    x = 631.99

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