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Finding the Fourth Proportional to 586.07, 808.75 and 324.08

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Solution

The fourth proportional to 586.07, 808.75 and 324.08 is: 447.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.07 : 808.75 = 324.08 : x
  2. Step 2: Convert to fraction form
    586.07/808.75 = 324.08/x
  3. Step 3: Cross multiply
    586.07x = 808.75 × 324.08
  4. Step 4: Simplify right side
    586.07x = 262,099.09
  5. Step 5: Solve for x
    x = 262,099.09/586.07
  6. Step 6: Final answer
    x = 447.22

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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.