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Finding the Fourth Proportional to 488.44, 735.53 and 352.43

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Solution

The fourth proportional to 488.44, 735.53 and 352.43 is: 530.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.44 : 735.53 = 352.43 : x
  2. Step 2: Convert to fraction form
    488.44/735.53 = 352.43/x
  3. Step 3: Cross multiply
    488.44x = 735.53 × 352.43
  4. Step 4: Simplify right side
    488.44x = 259,222.84
  5. Step 5: Solve for x
    x = 259,222.84/488.44
  6. Step 6: Final answer
    x = 530.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.