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Finding the Fourth Proportional to 601.28, 830.04 and 446

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Solution

The fourth proportional to 601.28, 830.04 and 446 is: 615.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.28 : 830.04 = 446 : x
  2. Step 2: Convert to fraction form
    601.28/830.04 = 446/x
  3. Step 3: Cross multiply
    601.28x = 830.04 × 446
  4. Step 4: Simplify right side
    601.28x = 370,197.84
  5. Step 5: Solve for x
    x = 370,197.84/601.28
  6. Step 6: Final answer
    x = 615.68

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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.