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Finding the Fourth Proportional to 582.97, 804.33 and 346.92

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Solution

The fourth proportional to 582.97, 804.33 and 346.92 is: 478.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.97 : 804.33 = 346.92 : x
  2. Step 2: Convert to fraction form
    582.97/804.33 = 346.92/x
  3. Step 3: Cross multiply
    582.97x = 804.33 × 346.92
  4. Step 4: Simplify right side
    582.97x = 279,038.16
  5. Step 5: Solve for x
    x = 279,038.16/582.97
  6. Step 6: Final answer
    x = 478.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.