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Finding the Fourth Proportional to 322.32, 483.53 and 116.84

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Solution

The fourth proportional to 322.32, 483.53 and 116.84 is: 175.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.32 : 483.53 = 116.84 : x
  2. Step 2: Convert to fraction form
    322.32/483.53 = 116.84/x
  3. Step 3: Cross multiply
    322.32x = 483.53 × 116.84
  4. Step 4: Simplify right side
    322.32x = 56,492.64
  5. Step 5: Solve for x
    x = 56,492.64/322.32
  6. Step 6: Final answer
    x = 175.27

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Why These Related Problems?

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