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Finding the Fourth Proportional to 482.00, 663.48 and 415.83

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Solution

The fourth proportional to 482.00, 663.48 and 415.83 is: 572.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.00 : 663.48 = 415.83 : x
  2. Step 2: Convert to fraction form
    482.00/663.48 = 415.83/x
  3. Step 3: Cross multiply
    482.00x = 663.48 × 415.83
  4. Step 4: Simplify right side
    482.00x = 275,898.55
  5. Step 5: Solve for x
    x = 275,898.55/482.00
  6. Step 6: Final answer
    x = 572.40

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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.