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Finding the Fourth Proportional to 433.23, 597.68 and 302.31

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Solution

The fourth proportional to 433.23, 597.68 and 302.31 is: 417.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.23 : 597.68 = 302.31 : x
  2. Step 2: Convert to fraction form
    433.23/597.68 = 302.31/x
  3. Step 3: Cross multiply
    433.23x = 597.68 × 302.31
  4. Step 4: Simplify right side
    433.23x = 180,683.13
  5. Step 5: Solve for x
    x = 180,683.13/433.23
  6. Step 6: Final answer
    x = 417.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.