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Finding the Fourth Proportional to 582.96, 804.50 and 334.31

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Solution

The fourth proportional to 582.96, 804.50 and 334.31 is: 461.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.96 : 804.50 = 334.31 : x
  2. Step 2: Convert to fraction form
    582.96/804.50 = 334.31/x
  3. Step 3: Cross multiply
    582.96x = 804.50 × 334.31
  4. Step 4: Simplify right side
    582.96x = 268,946.70
  5. Step 5: Solve for x
    x = 268,946.70/582.96
  6. Step 6: Final answer
    x = 461.35

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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.