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Finding the Fourth Proportional to 564.24, 777.84 and 433.04

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Solution

The fourth proportional to 564.24, 777.84 and 433.04 is: 596.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.24 : 777.84 = 433.04 : x
  2. Step 2: Convert to fraction form
    564.24/777.84 = 433.04/x
  3. Step 3: Cross multiply
    564.24x = 777.84 × 433.04
  4. Step 4: Simplify right side
    564.24x = 336,835.83
  5. Step 5: Solve for x
    x = 336,835.83/564.24
  6. Step 6: Final answer
    x = 596.97

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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.