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Finding the Fourth Proportional to 618.34, 852.84 and 432.16

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Solution

The fourth proportional to 618.34, 852.84 and 432.16 is: 596.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.34 : 852.84 = 432.16 : x
  2. Step 2: Convert to fraction form
    618.34/852.84 = 432.16/x
  3. Step 3: Cross multiply
    618.34x = 852.84 × 432.16
  4. Step 4: Simplify right side
    618.34x = 368,563.33
  5. Step 5: Solve for x
    x = 368,563.33/618.34
  6. Step 6: Final answer
    x = 596.05

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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.