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Finding the Fourth Proportional to 582.74, 804.16 and 334.04

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Solution

The fourth proportional to 582.74, 804.16 and 334.04 is: 460.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.74 : 804.16 = 334.04 : x
  2. Step 2: Convert to fraction form
    582.74/804.16 = 334.04/x
  3. Step 3: Cross multiply
    582.74x = 804.16 × 334.04
  4. Step 4: Simplify right side
    582.74x = 268,621.61
  5. Step 5: Solve for x
    x = 268,621.61/582.74
  6. Step 6: Final answer
    x = 460.96

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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.