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Finding the Fourth Proportional to 560.21, 773.08 and 311.51

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Solution

The fourth proportional to 560.21, 773.08 and 311.51 is: 429.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.21 : 773.08 = 311.51 : x
  2. Step 2: Convert to fraction form
    560.21/773.08 = 311.51/x
  3. Step 3: Cross multiply
    560.21x = 773.08 × 311.51
  4. Step 4: Simplify right side
    560.21x = 240,823.30
  5. Step 5: Solve for x
    x = 240,823.30/560.21
  6. Step 6: Final answer
    x = 429.88

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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.