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Finding the Fourth Proportional to 456.83, 683.95 and 413.58

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Solution

The fourth proportional to 456.83, 683.95 and 413.58 is: 619.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.83 : 683.95 = 413.58 : x
  2. Step 2: Convert to fraction form
    456.83/683.95 = 413.58/x
  3. Step 3: Cross multiply
    456.83x = 683.95 × 413.58
  4. Step 4: Simplify right side
    456.83x = 282,864.44
  5. Step 5: Solve for x
    x = 282,864.44/456.83
  6. Step 6: Final answer
    x = 619.19

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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.