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Finding the Fourth Proportional to 577.59, 795.38 and 429.96

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Solution

The fourth proportional to 577.59, 795.38 and 429.96 is: 592.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.59 : 795.38 = 429.96 : x
  2. Step 2: Convert to fraction form
    577.59/795.38 = 429.96/x
  3. Step 3: Cross multiply
    577.59x = 795.38 × 429.96
  4. Step 4: Simplify right side
    577.59x = 341,979.44
  5. Step 5: Solve for x
    x = 341,979.44/577.59
  6. Step 6: Final answer
    x = 592.08

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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.