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Finding the Fourth Proportional to 631.42, 946.89 and 220.51

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Solution

The fourth proportional to 631.42, 946.89 and 220.51 is: 330.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.42 : 946.89 = 220.51 : x
  2. Step 2: Convert to fraction form
    631.42/946.89 = 220.51/x
  3. Step 3: Cross multiply
    631.42x = 946.89 × 220.51
  4. Step 4: Simplify right side
    631.42x = 208,798.71
  5. Step 5: Solve for x
    x = 208,798.71/631.42
  6. Step 6: Final answer
    x = 330.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.