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Finding the Fourth Proportional to 560.54, 773.57 and 311.87

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Solution

The fourth proportional to 560.54, 773.57 and 311.87 is: 430.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.54 : 773.57 = 311.87 : x
  2. Step 2: Convert to fraction form
    560.54/773.57 = 311.87/x
  3. Step 3: Cross multiply
    560.54x = 773.57 × 311.87
  4. Step 4: Simplify right side
    560.54x = 241,247.85
  5. Step 5: Solve for x
    x = 241,247.85/560.54
  6. Step 6: Final answer
    x = 430.39

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1.5x scale

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.