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Finding the Fourth Proportional to 560.72, 773.80 and 312.05

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Solution

The fourth proportional to 560.72, 773.80 and 312.05 is: 430.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.72 : 773.80 = 312.05 : x
  2. Step 2: Convert to fraction form
    560.72/773.80 = 312.05/x
  3. Step 3: Cross multiply
    560.72x = 773.80 × 312.05
  4. Step 4: Simplify right side
    560.72x = 241,465.44
  5. Step 5: Solve for x
    x = 241,465.44/560.72
  6. Step 6: Final answer
    x = 430.63

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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.