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Finding the Fourth Proportional to 560.73, 773.81 and 312.06

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Solution

The fourth proportional to 560.73, 773.81 and 312.06 is: 430.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.73 : 773.81 = 312.06 : x
  2. Step 2: Convert to fraction form
    560.73/773.81 = 312.06/x
  3. Step 3: Cross multiply
    560.73x = 773.81 × 312.06
  4. Step 4: Simplify right side
    560.73x = 241,473.59
  5. Step 5: Solve for x
    x = 241,473.59/560.73
  6. Step 6: Final answer
    x = 430.64

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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.