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Finding the Fourth Proportional to 592.65, 818.00 and 344.15

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Solution

The fourth proportional to 592.65, 818.00 and 344.15 is: 475.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.65 : 818.00 = 344.15 : x
  2. Step 2: Convert to fraction form
    592.65/818.00 = 344.15/x
  3. Step 3: Cross multiply
    592.65x = 818.00 × 344.15
  4. Step 4: Simplify right side
    592.65x = 281,513.25
  5. Step 5: Solve for x
    x = 281,513.25/592.65
  6. Step 6: Final answer
    x = 475.01

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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.