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Finding the Fourth Proportional to 491.67, 678.37 and 360.45

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Solution

The fourth proportional to 491.67, 678.37 and 360.45 is: 497.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.67 : 678.37 = 360.45 : x
  2. Step 2: Convert to fraction form
    491.67/678.37 = 360.45/x
  3. Step 3: Cross multiply
    491.67x = 678.37 × 360.45
  4. Step 4: Simplify right side
    491.67x = 244,518.47
  5. Step 5: Solve for x
    x = 244,518.47/491.67
  6. Step 6: Final answer
    x = 497.32

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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.