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Finding the Fourth Proportional to 435.21, 600.57 and 260.52

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Solution

The fourth proportional to 435.21, 600.57 and 260.52 is: 359.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.21 : 600.57 = 260.52 : x
  2. Step 2: Convert to fraction form
    435.21/600.57 = 260.52/x
  3. Step 3: Cross multiply
    435.21x = 600.57 × 260.52
  4. Step 4: Simplify right side
    435.21x = 156,460.50
  5. Step 5: Solve for x
    x = 156,460.50/435.21
  6. Step 6: Final answer
    x = 359.51

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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.