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Finding the Fourth Proportional to 560.80, 773.93 and 312.11

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Solution

The fourth proportional to 560.80, 773.93 and 312.11 is: 430.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.80 : 773.93 = 312.11 : x
  2. Step 2: Convert to fraction form
    560.80/773.93 = 312.11/x
  3. Step 3: Cross multiply
    560.80x = 773.93 × 312.11
  4. Step 4: Simplify right side
    560.80x = 241,554.01
  5. Step 5: Solve for x
    x = 241,554.01/560.80
  6. Step 6: Final answer
    x = 430.73

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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.