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Finding the Fourth Proportional to 513.68, 707.60 and 430.72

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Solution

The fourth proportional to 513.68, 707.60 and 430.72 is: 593.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.68 : 707.60 = 430.72 : x
  2. Step 2: Convert to fraction form
    513.68/707.60 = 430.72/x
  3. Step 3: Cross multiply
    513.68x = 707.60 × 430.72
  4. Step 4: Simplify right side
    513.68x = 304,776.78
  5. Step 5: Solve for x
    x = 304,776.78/513.68
  6. Step 6: Final answer
    x = 593.33

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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.