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Finding the Fourth Proportional to 486.99, 671.75 and 420.87

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Solution

The fourth proportional to 486.99, 671.75 and 420.87 is: 580.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.99 : 671.75 = 420.87 : x
  2. Step 2: Convert to fraction form
    486.99/671.75 = 420.87/x
  3. Step 3: Cross multiply
    486.99x = 671.75 × 420.87
  4. Step 4: Simplify right side
    486.99x = 282,719.42
  5. Step 5: Solve for x
    x = 282,719.42/486.99
  6. Step 6: Final answer
    x = 580.54

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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.