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Finding the Fourth Proportional to 542.31, 808.67 and 465.76

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Solution

The fourth proportional to 542.31, 808.67 and 465.76 is: 694.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.31 : 808.67 = 465.76 : x
  2. Step 2: Convert to fraction form
    542.31/808.67 = 465.76/x
  3. Step 3: Cross multiply
    542.31x = 808.67 × 465.76
  4. Step 4: Simplify right side
    542.31x = 376,646.14
  5. Step 5: Solve for x
    x = 376,646.14/542.31
  6. Step 6: Final answer
    x = 694.52

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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.