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Finding the Fourth Proportional to 700.18, 966.36 and 420.46

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Solution

The fourth proportional to 700.18, 966.36 and 420.46 is: 580.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.18 : 966.36 = 420.46 : x
  2. Step 2: Convert to fraction form
    700.18/966.36 = 420.46/x
  3. Step 3: Cross multiply
    700.18x = 966.36 × 420.46
  4. Step 4: Simplify right side
    700.18x = 406,314.89
  5. Step 5: Solve for x
    x = 406,314.89/700.18
  6. Step 6: Final answer
    x = 580.30

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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.