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Finding the Fourth Proportional to 542.06, 747.83 and 342.90

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Solution

The fourth proportional to 542.06, 747.83 and 342.90 is: 473.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.06 : 747.83 = 342.90 : x
  2. Step 2: Convert to fraction form
    542.06/747.83 = 342.90/x
  3. Step 3: Cross multiply
    542.06x = 747.83 × 342.90
  4. Step 4: Simplify right side
    542.06x = 256,431.76
  5. Step 5: Solve for x
    x = 256,431.76/542.06
  6. Step 6: Final answer
    x = 473.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.