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Finding the Fourth Proportional to 592.84, 818.47 and 446.12

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Solution

The fourth proportional to 592.84, 818.47 and 446.12 is: 615.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.84 : 818.47 = 446.12 : x
  2. Step 2: Convert to fraction form
    592.84/818.47 = 446.12/x
  3. Step 3: Cross multiply
    592.84x = 818.47 × 446.12
  4. Step 4: Simplify right side
    592.84x = 365,135.84
  5. Step 5: Solve for x
    x = 365,135.84/592.84
  6. Step 6: Final answer
    x = 615.91

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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.