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Finding the Fourth Proportional to 592.96, 818.16 and 427.54

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Solution

The fourth proportional to 592.96, 818.16 and 427.54 is: 589.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.96 : 818.16 = 427.54 : x
  2. Step 2: Convert to fraction form
    592.96/818.16 = 427.54/x
  3. Step 3: Cross multiply
    592.96x = 818.16 × 427.54
  4. Step 4: Simplify right side
    592.96x = 349,796.13
  5. Step 5: Solve for x
    x = 349,796.13/592.96
  6. Step 6: Final answer
    x = 589.92

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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.