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Finding the Fourth Proportional to 582.65, 804.05 and 346.59

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Solution

The fourth proportional to 582.65, 804.05 and 346.59 is: 478.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.65 : 804.05 = 346.59 : x
  2. Step 2: Convert to fraction form
    582.65/804.05 = 346.59/x
  3. Step 3: Cross multiply
    582.65x = 804.05 × 346.59
  4. Step 4: Simplify right side
    582.65x = 278,673.96
  5. Step 5: Solve for x
    x = 278,673.96/582.65
  6. Step 6: Final answer
    x = 478.29

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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.