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Finding the Fourth Proportional to 582.61, 804.07 and 333.98

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Solution

The fourth proportional to 582.61, 804.07 and 333.98 is: 460.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.61 : 804.07 = 333.98 : x
  2. Step 2: Convert to fraction form
    582.61/804.07 = 333.98/x
  3. Step 3: Cross multiply
    582.61x = 804.07 × 333.98
  4. Step 4: Simplify right side
    582.61x = 268,543.30
  5. Step 5: Solve for x
    x = 268,543.30/582.61
  6. Step 6: Final answer
    x = 460.93

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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.