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Finding the Fourth Proportional to 539.48, 808.05 and 322.58

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Solution

The fourth proportional to 539.48, 808.05 and 322.58 is: 483.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.48 : 808.05 = 322.58 : x
  2. Step 2: Convert to fraction form
    539.48/808.05 = 322.58/x
  3. Step 3: Cross multiply
    539.48x = 808.05 × 322.58
  4. Step 4: Simplify right side
    539.48x = 260,660.77
  5. Step 5: Solve for x
    x = 260,660.77/539.48
  6. Step 6: Final answer
    x = 483.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.