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Finding the Fourth Proportional to 542.86, 749.25 and 310

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Solution

The fourth proportional to 542.86, 749.25 and 310 is: 427.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.86 : 749.25 = 310 : x
  2. Step 2: Convert to fraction form
    542.86/749.25 = 310/x
  3. Step 3: Cross multiply
    542.86x = 749.25 × 310
  4. Step 4: Simplify right side
    542.86x = 232,267.50
  5. Step 5: Solve for x
    x = 232,267.50/542.86
  6. Step 6: Final answer
    x = 427.86

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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.