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Finding the Fourth Proportional to 582.41, 804.81 and 472.46

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Solution

The fourth proportional to 582.41, 804.81 and 472.46 is: 652.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.41 : 804.81 = 472.46 : x
  2. Step 2: Convert to fraction form
    582.41/804.81 = 472.46/x
  3. Step 3: Cross multiply
    582.41x = 804.81 × 472.46
  4. Step 4: Simplify right side
    582.41x = 380,236.51
  5. Step 5: Solve for x
    x = 380,236.51/582.41
  6. Step 6: Final answer
    x = 652.87

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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.