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Finding the Fourth Proportional to 433.60, 597.66 and 302.32

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Solution

The fourth proportional to 433.60, 597.66 and 302.32 is: 416.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.60 : 597.66 = 302.32 : x
  2. Step 2: Convert to fraction form
    433.60/597.66 = 302.32/x
  3. Step 3: Cross multiply
    433.60x = 597.66 × 302.32
  4. Step 4: Simplify right side
    433.60x = 180,684.57
  5. Step 5: Solve for x
    x = 180,684.57/433.60
  6. Step 6: Final answer
    x = 416.71

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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.