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Finding the Fourth Proportional to 542.48, 808.96 and 521.48

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Solution

The fourth proportional to 542.48, 808.96 and 521.48 is: 777.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.48 : 808.96 = 521.48 : x
  2. Step 2: Convert to fraction form
    542.48/808.96 = 521.48/x
  3. Step 3: Cross multiply
    542.48x = 808.96 × 521.48
  4. Step 4: Simplify right side
    542.48x = 421,856.46
  5. Step 5: Solve for x
    x = 421,856.46/542.48
  6. Step 6: Final answer
    x = 777.64

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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.