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Finding the Fourth Proportional to 491.57, 678.68 and 305.24

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Solution

The fourth proportional to 491.57, 678.68 and 305.24 is: 421.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.57 : 678.68 = 305.24 : x
  2. Step 2: Convert to fraction form
    491.57/678.68 = 305.24/x
  3. Step 3: Cross multiply
    491.57x = 678.68 × 305.24
  4. Step 4: Simplify right side
    491.57x = 207,156.51
  5. Step 5: Solve for x
    x = 207,156.51/491.57
  6. Step 6: Final answer
    x = 421.42

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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.