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Finding the Fourth Proportional to 584.17, 875.79 and 324.26

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Solution

The fourth proportional to 584.17, 875.79 and 324.26 is: 486.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.17 : 875.79 = 324.26 : x
  2. Step 2: Convert to fraction form
    584.17/875.79 = 324.26/x
  3. Step 3: Cross multiply
    584.17x = 875.79 × 324.26
  4. Step 4: Simplify right side
    584.17x = 283,979.29
  5. Step 5: Solve for x
    x = 283,979.29/584.17
  6. Step 6: Final answer
    x = 486.13

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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.