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Finding the Fourth Proportional to 560.86, 773.67 and 353.50

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Solution

The fourth proportional to 560.86, 773.67 and 353.50 is: 487.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.86 : 773.67 = 353.50 : x
  2. Step 2: Convert to fraction form
    560.86/773.67 = 353.50/x
  3. Step 3: Cross multiply
    560.86x = 773.67 × 353.50
  4. Step 4: Simplify right side
    560.86x = 273,492.35
  5. Step 5: Solve for x
    x = 273,492.35/560.86
  6. Step 6: Final answer
    x = 487.63

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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.