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Finding the Fourth Proportional to 592.92, 818.49 and 369.06

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Solution

The fourth proportional to 592.92, 818.49 and 369.06 is: 509.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.92 : 818.49 = 369.06 : x
  2. Step 2: Convert to fraction form
    592.92/818.49 = 369.06/x
  3. Step 3: Cross multiply
    592.92x = 818.49 × 369.06
  4. Step 4: Simplify right side
    592.92x = 302,071.92
  5. Step 5: Solve for x
    x = 302,071.92/592.92
  6. Step 6: Final answer
    x = 509.46

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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.