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Finding the Fourth Proportional to 355.60, 533.64 and 259.64

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Solution

The fourth proportional to 355.60, 533.64 and 259.64 is: 389.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.60 : 533.64 = 259.64 : x
  2. Step 2: Convert to fraction form
    355.60/533.64 = 259.64/x
  3. Step 3: Cross multiply
    355.60x = 533.64 × 259.64
  4. Step 4: Simplify right side
    355.60x = 138,554.29
  5. Step 5: Solve for x
    x = 138,554.29/355.60
  6. Step 6: Final answer
    x = 389.64

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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.