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Finding the Fourth Proportional to 580.79, 875.26 and 523.08

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Solution

The fourth proportional to 580.79, 875.26 and 523.08 is: 788.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.79 : 875.26 = 523.08 : x
  2. Step 2: Convert to fraction form
    580.79/875.26 = 523.08/x
  3. Step 3: Cross multiply
    580.79x = 875.26 × 523.08
  4. Step 4: Simplify right side
    580.79x = 457,829.69
  5. Step 5: Solve for x
    x = 457,829.69/580.79
  6. Step 6: Final answer
    x = 788.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.