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Finding the Fourth Proportional to 433.76, 598.32 and 302.80

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Solution

The fourth proportional to 433.76, 598.32 and 302.80 is: 417.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.76 : 598.32 = 302.80 : x
  2. Step 2: Convert to fraction form
    433.76/598.32 = 302.80/x
  3. Step 3: Cross multiply
    433.76x = 598.32 × 302.80
  4. Step 4: Simplify right side
    433.76x = 181,171.30
  5. Step 5: Solve for x
    x = 181,171.30/433.76
  6. Step 6: Final answer
    x = 417.68

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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.