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Finding the Fourth Proportional to 355.24, 531.65 and 260.90

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Solution

The fourth proportional to 355.24, 531.65 and 260.90 is: 390.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.24 : 531.65 = 260.90 : x
  2. Step 2: Convert to fraction form
    355.24/531.65 = 260.90/x
  3. Step 3: Cross multiply
    355.24x = 531.65 × 260.90
  4. Step 4: Simplify right side
    355.24x = 138,707.49
  5. Step 5: Solve for x
    x = 138,707.49/355.24
  6. Step 6: Final answer
    x = 390.46

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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.