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Finding the Fourth Proportional to 590.57, 815.01 and 325.02

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Solution

The fourth proportional to 590.57, 815.01 and 325.02 is: 448.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.57 : 815.01 = 325.02 : x
  2. Step 2: Convert to fraction form
    590.57/815.01 = 325.02/x
  3. Step 3: Cross multiply
    590.57x = 815.01 × 325.02
  4. Step 4: Simplify right side
    590.57x = 264,894.55
  5. Step 5: Solve for x
    x = 264,894.55/590.57
  6. Step 6: Final answer
    x = 448.54

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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.