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Finding the Fourth Proportional to 700.28, 966.42 and 420.56

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Solution

The fourth proportional to 700.28, 966.42 and 420.56 is: 580.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.28 : 966.42 = 420.56 : x
  2. Step 2: Convert to fraction form
    700.28/966.42 = 420.56/x
  3. Step 3: Cross multiply
    700.28x = 966.42 × 420.56
  4. Step 4: Simplify right side
    700.28x = 406,437.60
  5. Step 5: Solve for x
    x = 406,437.60/700.28
  6. Step 6: Final answer
    x = 580.39

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1.5x scale

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.