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Finding the Fourth Proportional to 560.70, 772.70 and 420.46

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Solution

The fourth proportional to 560.70, 772.70 and 420.46 is: 579.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.70 : 772.70 = 420.46 : x
  2. Step 2: Convert to fraction form
    560.70/772.70 = 420.46/x
  3. Step 3: Cross multiply
    560.70x = 772.70 × 420.46
  4. Step 4: Simplify right side
    560.70x = 324,885.41
  5. Step 5: Solve for x
    x = 324,885.41/560.70
  6. Step 6: Final answer
    x = 579.43

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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.