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Finding the Fourth Proportional to 563.86, 846.06 and 275.50

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Solution

The fourth proportional to 563.86, 846.06 and 275.50 is: 413.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.86 : 846.06 = 275.50 : x
  2. Step 2: Convert to fraction form
    563.86/846.06 = 275.50/x
  3. Step 3: Cross multiply
    563.86x = 846.06 × 275.50
  4. Step 4: Simplify right side
    563.86x = 233,089.53
  5. Step 5: Solve for x
    x = 233,089.53/563.86
  6. Step 6: Final answer
    x = 413.38

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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.