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Finding the Fourth Proportional to 433.37, 597.34 and 302.15

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Solution

The fourth proportional to 433.37, 597.34 and 302.15 is: 416.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.37 : 597.34 = 302.15 : x
  2. Step 2: Convert to fraction form
    433.37/597.34 = 302.15/x
  3. Step 3: Cross multiply
    433.37x = 597.34 × 302.15
  4. Step 4: Simplify right side
    433.37x = 180,486.28
  5. Step 5: Solve for x
    x = 180,486.28/433.37
  6. Step 6: Final answer
    x = 416.47

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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.