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Finding the Fourth Proportional to 433.12, 597.68 and 265.02

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Solution

The fourth proportional to 433.12, 597.68 and 265.02 is: 365.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.12 : 597.68 = 265.02 : x
  2. Step 2: Convert to fraction form
    433.12/597.68 = 265.02/x
  3. Step 3: Cross multiply
    433.12x = 597.68 × 265.02
  4. Step 4: Simplify right side
    433.12x = 158,397.15
  5. Step 5: Solve for x
    x = 158,397.15/433.12
  6. Step 6: Final answer
    x = 365.71

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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.