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Finding the Fourth Proportional to 601.16, 830.06 and 380.64

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Solution

The fourth proportional to 601.16, 830.06 and 380.64 is: 525.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.16 : 830.06 = 380.64 : x
  2. Step 2: Convert to fraction form
    601.16/830.06 = 380.64/x
  3. Step 3: Cross multiply
    601.16x = 830.06 × 380.64
  4. Step 4: Simplify right side
    601.16x = 315,954.04
  5. Step 5: Solve for x
    x = 315,954.04/601.16
  6. Step 6: Final answer
    x = 525.57

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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.