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Finding the Fourth Proportional to 582.83, 804.30 and 334.15

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Solution

The fourth proportional to 582.83, 804.30 and 334.15 is: 461.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.83 : 804.30 = 334.15 : x
  2. Step 2: Convert to fraction form
    582.83/804.30 = 334.15/x
  3. Step 3: Cross multiply
    582.83x = 804.30 × 334.15
  4. Step 4: Simplify right side
    582.83x = 268,752.82
  5. Step 5: Solve for x
    x = 268,752.82/582.83
  6. Step 6: Final answer
    x = 461.12

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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.