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Finding the Fourth Proportional to 612.47, 917.63 and 324.11

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Solution

The fourth proportional to 612.47, 917.63 and 324.11 is: 485.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.47 : 917.63 = 324.11 : x
  2. Step 2: Convert to fraction form
    612.47/917.63 = 324.11/x
  3. Step 3: Cross multiply
    612.47x = 917.63 × 324.11
  4. Step 4: Simplify right side
    612.47x = 297,413.06
  5. Step 5: Solve for x
    x = 297,413.06/612.47
  6. Step 6: Final answer
    x = 485.60

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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.