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Finding the Fourth Proportional to 577.83, 795.72 and 430.21

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Solution

The fourth proportional to 577.83, 795.72 and 430.21 is: 592.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.83 : 795.72 = 430.21 : x
  2. Step 2: Convert to fraction form
    577.83/795.72 = 430.21/x
  3. Step 3: Cross multiply
    577.83x = 795.72 × 430.21
  4. Step 4: Simplify right side
    577.83x = 342,326.70
  5. Step 5: Solve for x
    x = 342,326.70/577.83
  6. Step 6: Final answer
    x = 592.43

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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.