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Finding the Fourth Proportional to 582.47, 803.85 and 333.82

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Solution

The fourth proportional to 582.47, 803.85 and 333.82 is: 460.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.47 : 803.85 = 333.82 : x
  2. Step 2: Convert to fraction form
    582.47/803.85 = 333.82/x
  3. Step 3: Cross multiply
    582.47x = 803.85 × 333.82
  4. Step 4: Simplify right side
    582.47x = 268,341.21
  5. Step 5: Solve for x
    x = 268,341.21/582.47
  6. Step 6: Final answer
    x = 460.70

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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.