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Finding the Fourth Proportional to 542.04, 813.16 and 282.16

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Solution

The fourth proportional to 542.04, 813.16 and 282.16 is: 423.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.04 : 813.16 = 282.16 : x
  2. Step 2: Convert to fraction form
    542.04/813.16 = 282.16/x
  3. Step 3: Cross multiply
    542.04x = 813.16 × 282.16
  4. Step 4: Simplify right side
    542.04x = 229,441.23
  5. Step 5: Solve for x
    x = 229,441.23/542.04
  6. Step 6: Final answer
    x = 423.29

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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.