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Finding the Fourth Proportional to 420.64, 631.40 and 177.32

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Solution

The fourth proportional to 420.64, 631.40 and 177.32 is: 266.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.64 : 631.40 = 177.32 : x
  2. Step 2: Convert to fraction form
    420.64/631.40 = 177.32/x
  3. Step 3: Cross multiply
    420.64x = 631.40 × 177.32
  4. Step 4: Simplify right side
    420.64x = 111,959.85
  5. Step 5: Solve for x
    x = 111,959.85/420.64
  6. Step 6: Final answer
    x = 266.17

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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.