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Finding the Fourth Proportional to 735.58, 1,015.10 and 404

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Solution

The fourth proportional to 735.58, 1,015.10 and 404 is: 557.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.58 : 1,015.10 = 404 : x
  2. Step 2: Convert to fraction form
    735.58/1,015.10 = 404/x
  3. Step 3: Cross multiply
    735.58x = 1,015.10 × 404
  4. Step 4: Simplify right side
    735.58x = 410,100.40
  5. Step 5: Solve for x
    x = 410,100.40/735.58
  6. Step 6: Final answer
    x = 557.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.