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Finding the Fourth Proportional to 601.27, 830.49 and 435.22

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Solution

The fourth proportional to 601.27, 830.49 and 435.22 is: 601.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.27 : 830.49 = 435.22 : x
  2. Step 2: Convert to fraction form
    601.27/830.49 = 435.22/x
  3. Step 3: Cross multiply
    601.27x = 830.49 × 435.22
  4. Step 4: Simplify right side
    601.27x = 361,445.86
  5. Step 5: Solve for x
    x = 361,445.86/601.27
  6. Step 6: Final answer
    x = 601.14

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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.