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Finding the Fourth Proportional to 478.04, 716.31 and 282.57

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Solution

The fourth proportional to 478.04, 716.31 and 282.57 is: 423.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.04 : 716.31 = 282.57 : x
  2. Step 2: Convert to fraction form
    478.04/716.31 = 282.57/x
  3. Step 3: Cross multiply
    478.04x = 716.31 × 282.57
  4. Step 4: Simplify right side
    478.04x = 202,407.72
  5. Step 5: Solve for x
    x = 202,407.72/478.04
  6. Step 6: Final answer
    x = 423.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.