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Finding the Fourth Proportional to 507.15, 759.53 and 390.66

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Solution

The fourth proportional to 507.15, 759.53 and 390.66 is: 585.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.15 : 759.53 = 390.66 : x
  2. Step 2: Convert to fraction form
    507.15/759.53 = 390.66/x
  3. Step 3: Cross multiply
    507.15x = 759.53 × 390.66
  4. Step 4: Simplify right side
    507.15x = 296,716.04
  5. Step 5: Solve for x
    x = 296,716.04/507.15
  6. Step 6: Final answer
    x = 585.07

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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.