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Finding the Fourth Proportional to 601.50, 830.70 and 445.98

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Solution

The fourth proportional to 601.50, 830.70 and 445.98 is: 615.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.50 : 830.70 = 445.98 : x
  2. Step 2: Convert to fraction form
    601.50/830.70 = 445.98/x
  3. Step 3: Cross multiply
    601.50x = 830.70 × 445.98
  4. Step 4: Simplify right side
    601.50x = 370,475.59
  5. Step 5: Solve for x
    x = 370,475.59/601.50
  6. Step 6: Final answer
    x = 615.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.