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Finding the Fourth Proportional to 507.51, 699.71 and 360.09

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Solution

The fourth proportional to 507.51, 699.71 and 360.09 is: 496.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.51 : 699.71 = 360.09 : x
  2. Step 2: Convert to fraction form
    507.51/699.71 = 360.09/x
  3. Step 3: Cross multiply
    507.51x = 699.71 × 360.09
  4. Step 4: Simplify right side
    507.51x = 251,956.77
  5. Step 5: Solve for x
    x = 251,956.77/507.51
  6. Step 6: Final answer
    x = 496.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.