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Finding the Fourth Proportional to 542.12, 813.44 and 470.48

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Solution

The fourth proportional to 542.12, 813.44 and 470.48 is: 705.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.12 : 813.44 = 470.48 : x
  2. Step 2: Convert to fraction form
    542.12/813.44 = 470.48/x
  3. Step 3: Cross multiply
    542.12x = 813.44 × 470.48
  4. Step 4: Simplify right side
    542.12x = 382,707.25
  5. Step 5: Solve for x
    x = 382,707.25/542.12
  6. Step 6: Final answer
    x = 705.95

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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.