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Finding the Fourth Proportional to 493.71, 681.30 and 307.19

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Solution

The fourth proportional to 493.71, 681.30 and 307.19 is: 423.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.71 : 681.30 = 307.19 : x
  2. Step 2: Convert to fraction form
    493.71/681.30 = 307.19/x
  3. Step 3: Cross multiply
    493.71x = 681.30 × 307.19
  4. Step 4: Simplify right side
    493.71x = 209,285.14
  5. Step 5: Solve for x
    x = 209,285.14/493.71
  6. Step 6: Final answer
    x = 423.90

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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.