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Finding the Fourth Proportional to 493.80, 682.02 and 465

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Solution

The fourth proportional to 493.80, 682.02 and 465 is: 642.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.80 : 682.02 = 465 : x
  2. Step 2: Convert to fraction form
    493.80/682.02 = 465/x
  3. Step 3: Cross multiply
    493.80x = 682.02 × 465
  4. Step 4: Simplify right side
    493.80x = 317,139.30
  5. Step 5: Solve for x
    x = 317,139.30/493.80
  6. Step 6: Final answer
    x = 642.24

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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.