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Finding the Fourth Proportional to 491.28, 735 and 413.84

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Solution

The fourth proportional to 491.28, 735 and 413.84 is: 619.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.28 : 735 = 413.84 : x
  2. Step 2: Convert to fraction form
    491.28/735 = 413.84/x
  3. Step 3: Cross multiply
    491.28x = 735 × 413.84
  4. Step 4: Simplify right side
    491.28x = 304,172.40
  5. Step 5: Solve for x
    x = 304,172.40/491.28
  6. Step 6: Final answer
    x = 619.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.