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Finding the Fourth Proportional to 582.25, 803.91 and 407.83

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Solution

The fourth proportional to 582.25, 803.91 and 407.83 is: 563.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.25 : 803.91 = 407.83 : x
  2. Step 2: Convert to fraction form
    582.25/803.91 = 407.83/x
  3. Step 3: Cross multiply
    582.25x = 803.91 × 407.83
  4. Step 4: Simplify right side
    582.25x = 327,858.62
  5. Step 5: Solve for x
    x = 327,858.62/582.25
  6. Step 6: Final answer
    x = 563.09

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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.