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Finding the Fourth Proportional to 542.86, 749.43 and 418.23

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Solution

The fourth proportional to 542.86, 749.43 and 418.23 is: 577.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.86 : 749.43 = 418.23 : x
  2. Step 2: Convert to fraction form
    542.86/749.43 = 418.23/x
  3. Step 3: Cross multiply
    542.86x = 749.43 × 418.23
  4. Step 4: Simplify right side
    542.86x = 313,434.11
  5. Step 5: Solve for x
    x = 313,434.11/542.86
  6. Step 6: Final answer
    x = 577.38

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1.5x scale

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.