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Finding the Fourth Proportional to 572.79, 791.09 and 430.76

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Solution

The fourth proportional to 572.79, 791.09 and 430.76 is: 594.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.79 : 791.09 = 430.76 : x
  2. Step 2: Convert to fraction form
    572.79/791.09 = 430.76/x
  3. Step 3: Cross multiply
    572.79x = 791.09 × 430.76
  4. Step 4: Simplify right side
    572.79x = 340,763.82
  5. Step 5: Solve for x
    x = 340,763.82/572.79
  6. Step 6: Final answer
    x = 594.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.