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Finding the Fourth Proportional to 661.70, 912.64 and 428.42

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Solution

The fourth proportional to 661.70, 912.64 and 428.42 is: 590.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.70 : 912.64 = 428.42 : x
  2. Step 2: Convert to fraction form
    661.70/912.64 = 428.42/x
  3. Step 3: Cross multiply
    661.70x = 912.64 × 428.42
  4. Step 4: Simplify right side
    661.70x = 390,993.23
  5. Step 5: Solve for x
    x = 390,993.23/661.70
  6. Step 6: Final answer
    x = 590.89

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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.