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Finding the Fourth Proportional to 618.34, 852.91 and 431.76

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Solution

The fourth proportional to 618.34, 852.91 and 431.76 is: 595.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.34 : 852.91 = 431.76 : x
  2. Step 2: Convert to fraction form
    618.34/852.91 = 431.76/x
  3. Step 3: Cross multiply
    618.34x = 852.91 × 431.76
  4. Step 4: Simplify right side
    618.34x = 368,247.08
  5. Step 5: Solve for x
    x = 368,247.08/618.34
  6. Step 6: Final answer
    x = 595.55

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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.