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Finding the Fourth Proportional to 523.85, 722.65 and 406.60

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Solution

The fourth proportional to 523.85, 722.65 and 406.60 is: 560.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.85 : 722.65 = 406.60 : x
  2. Step 2: Convert to fraction form
    523.85/722.65 = 406.60/x
  3. Step 3: Cross multiply
    523.85x = 722.65 × 406.60
  4. Step 4: Simplify right side
    523.85x = 293,823.84
  5. Step 5: Solve for x
    x = 293,823.84/523.85
  6. Step 6: Final answer
    x = 560.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.