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Finding the Fourth Proportional to 560.03, 772.84 and 311.34

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Solution

The fourth proportional to 560.03, 772.84 and 311.34 is: 429.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.03 : 772.84 = 311.34 : x
  2. Step 2: Convert to fraction form
    560.03/772.84 = 311.34/x
  3. Step 3: Cross multiply
    560.03x = 772.84 × 311.34
  4. Step 4: Simplify right side
    560.03x = 240,616.01
  5. Step 5: Solve for x
    x = 240,616.01/560.03
  6. Step 6: Final answer
    x = 429.65

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