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Finding the Fourth Proportional to 582.63, 803.76 and 333.75

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Solution

The fourth proportional to 582.63, 803.76 and 333.75 is: 460.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.63 : 803.76 = 333.75 : x
  2. Step 2: Convert to fraction form
    582.63/803.76 = 333.75/x
  3. Step 3: Cross multiply
    582.63x = 803.76 × 333.75
  4. Step 4: Simplify right side
    582.63x = 268,256.66
  5. Step 5: Solve for x
    x = 268,256.66/582.63
  6. Step 6: Final answer
    x = 460.43

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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.