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Finding the Fourth Proportional to 577.89, 798.19 and 431.17

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Solution

The fourth proportional to 577.89, 798.19 and 431.17 is: 595.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.89 : 798.19 = 431.17 : x
  2. Step 2: Convert to fraction form
    577.89/798.19 = 431.17/x
  3. Step 3: Cross multiply
    577.89x = 798.19 × 431.17
  4. Step 4: Simplify right side
    577.89x = 344,152.51
  5. Step 5: Solve for x
    x = 344,152.51/577.89
  6. Step 6: Final answer
    x = 595.53

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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.