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Finding the Fourth Proportional to 507.60, 760.44 and 353.64

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Solution

The fourth proportional to 507.60, 760.44 and 353.64 is: 529.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.60 : 760.44 = 353.64 : x
  2. Step 2: Convert to fraction form
    507.60/760.44 = 353.64/x
  3. Step 3: Cross multiply
    507.60x = 760.44 × 353.64
  4. Step 4: Simplify right side
    507.60x = 268,922.00
  5. Step 5: Solve for x
    x = 268,922.00/507.60
  6. Step 6: Final answer
    x = 529.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.