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Finding the Fourth Proportional to 563.86, 846.22 and 368.81

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Solution

The fourth proportional to 563.86, 846.22 and 368.81 is: 553.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.86 : 846.22 = 368.81 : x
  2. Step 2: Convert to fraction form
    563.86/846.22 = 368.81/x
  3. Step 3: Cross multiply
    563.86x = 846.22 × 368.81
  4. Step 4: Simplify right side
    563.86x = 312,094.40
  5. Step 5: Solve for x
    x = 312,094.40/563.86
  6. Step 6: Final answer
    x = 553.50

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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.