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Finding the Fourth Proportional to 700.56, 966.60 and 420.72

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Solution

The fourth proportional to 700.56, 966.60 and 420.72 is: 580.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.56 : 966.60 = 420.72 : x
  2. Step 2: Convert to fraction form
    700.56/966.60 = 420.72/x
  3. Step 3: Cross multiply
    700.56x = 966.60 × 420.72
  4. Step 4: Simplify right side
    700.56x = 406,667.95
  5. Step 5: Solve for x
    x = 406,667.95/700.56
  6. Step 6: Final answer
    x = 580.49

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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.