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Finding the Fourth Proportional to 489.76, 735.36 and 353.59

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Solution

The fourth proportional to 489.76, 735.36 and 353.59 is: 530.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.76 : 735.36 = 353.59 : x
  2. Step 2: Convert to fraction form
    489.76/735.36 = 353.59/x
  3. Step 3: Cross multiply
    489.76x = 735.36 × 353.59
  4. Step 4: Simplify right side
    489.76x = 260,015.94
  5. Step 5: Solve for x
    x = 260,015.94/489.76
  6. Step 6: Final answer
    x = 530.90

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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.