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Finding the Fourth Proportional to 582.83, 804.08 and 334.02

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Solution

The fourth proportional to 582.83, 804.08 and 334.02 is: 460.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.83 : 804.08 = 334.02 : x
  2. Step 2: Convert to fraction form
    582.83/804.08 = 334.02/x
  3. Step 3: Cross multiply
    582.83x = 804.08 × 334.02
  4. Step 4: Simplify right side
    582.83x = 268,578.80
  5. Step 5: Solve for x
    x = 268,578.80/582.83
  6. Step 6: Final answer
    x = 460.82

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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.