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Finding the Fourth Proportional to 433.68, 597.96 and 377.52

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Solution

The fourth proportional to 433.68, 597.96 and 377.52 is: 520.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.68 : 597.96 = 377.52 : x
  2. Step 2: Convert to fraction form
    433.68/597.96 = 377.52/x
  3. Step 3: Cross multiply
    433.68x = 597.96 × 377.52
  4. Step 4: Simplify right side
    433.68x = 225,741.86
  5. Step 5: Solve for x
    x = 225,741.86/433.68
  6. Step 6: Final answer
    x = 520.53

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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.