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Finding the Fourth Proportional to 356.32, 534.08 and 211.84

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Solution

The fourth proportional to 356.32, 534.08 and 211.84 is: 317.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.32 : 534.08 = 211.84 : x
  2. Step 2: Convert to fraction form
    356.32/534.08 = 211.84/x
  3. Step 3: Cross multiply
    356.32x = 534.08 × 211.84
  4. Step 4: Simplify right side
    356.32x = 113,139.51
  5. Step 5: Solve for x
    x = 113,139.51/356.32
  6. Step 6: Final answer
    x = 317.52

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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.