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Finding the Fourth Proportional to 507.60, 761.40 and 335.37

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Solution

The fourth proportional to 507.60, 761.40 and 335.37 is: 503.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.60 : 761.40 = 335.37 : x
  2. Step 2: Convert to fraction form
    507.60/761.40 = 335.37/x
  3. Step 3: Cross multiply
    507.60x = 761.40 × 335.37
  4. Step 4: Simplify right side
    507.60x = 255,350.72
  5. Step 5: Solve for x
    x = 255,350.72/507.60
  6. Step 6: Final answer
    x = 503.06

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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.