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Finding the Fourth Proportional to 582.94, 804.57 and 346.81

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Solution

The fourth proportional to 582.94, 804.57 and 346.81 is: 478.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.94 : 804.57 = 346.81 : x
  2. Step 2: Convert to fraction form
    582.94/804.57 = 346.81/x
  3. Step 3: Cross multiply
    582.94x = 804.57 × 346.81
  4. Step 4: Simplify right side
    582.94x = 279,032.92
  5. Step 5: Solve for x
    x = 279,032.92/582.94
  6. Step 6: Final answer
    x = 478.66

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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.