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Finding the Fourth Proportional to 518.89, 715.19 and 430.50

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Solution

The fourth proportional to 518.89, 715.19 and 430.50 is: 593.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.89 : 715.19 = 430.50 : x
  2. Step 2: Convert to fraction form
    518.89/715.19 = 430.50/x
  3. Step 3: Cross multiply
    518.89x = 715.19 × 430.50
  4. Step 4: Simplify right side
    518.89x = 307,889.30
  5. Step 5: Solve for x
    x = 307,889.30/518.89
  6. Step 6: Final answer
    x = 593.36

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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.