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Finding the Fourth Proportional to 507.57, 699.91 and 358.32

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Solution

The fourth proportional to 507.57, 699.91 and 358.32 is: 494.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.57 : 699.91 = 358.32 : x
  2. Step 2: Convert to fraction form
    507.57/699.91 = 358.32/x
  3. Step 3: Cross multiply
    507.57x = 699.91 × 358.32
  4. Step 4: Simplify right side
    507.57x = 250,791.75
  5. Step 5: Solve for x
    x = 250,791.75/507.57
  6. Step 6: Final answer
    x = 494.10

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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.