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Finding the Fourth Proportional to 383.04, 570.42 and 359.68

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Solution

The fourth proportional to 383.04, 570.42 and 359.68 is: 535.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.04 : 570.42 = 359.68 : x
  2. Step 2: Convert to fraction form
    383.04/570.42 = 359.68/x
  3. Step 3: Cross multiply
    383.04x = 570.42 × 359.68
  4. Step 4: Simplify right side
    383.04x = 205,168.67
  5. Step 5: Solve for x
    x = 205,168.67/383.04
  6. Step 6: Final answer
    x = 535.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.