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Finding the Fourth Proportional to 542.15, 809.43 and 468.93

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Solution

The fourth proportional to 542.15, 809.43 and 468.93 is: 700.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.15 : 809.43 = 468.93 : x
  2. Step 2: Convert to fraction form
    542.15/809.43 = 468.93/x
  3. Step 3: Cross multiply
    542.15x = 809.43 × 468.93
  4. Step 4: Simplify right side
    542.15x = 379,566.01
  5. Step 5: Solve for x
    x = 379,566.01/542.15
  6. Step 6: Final answer
    x = 700.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.