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Finding the Fourth Proportional to 433.92, 598.80 and 265.84

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Solution

The fourth proportional to 433.92, 598.80 and 265.84 is: 366.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.92 : 598.80 = 265.84 : x
  2. Step 2: Convert to fraction form
    433.92/598.80 = 265.84/x
  3. Step 3: Cross multiply
    433.92x = 598.80 × 265.84
  4. Step 4: Simplify right side
    433.92x = 159,184.99
  5. Step 5: Solve for x
    x = 159,184.99/433.92
  6. Step 6: Final answer
    x = 366.85

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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.