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Finding the Fourth Proportional to 420.54, 580.47 and 302.54

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Solution

The fourth proportional to 420.54, 580.47 and 302.54 is: 417.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.54 : 580.47 = 302.54 : x
  2. Step 2: Convert to fraction form
    420.54/580.47 = 302.54/x
  3. Step 3: Cross multiply
    420.54x = 580.47 × 302.54
  4. Step 4: Simplify right side
    420.54x = 175,611.36
  5. Step 5: Solve for x
    x = 175,611.36/420.54
  6. Step 6: Final answer
    x = 417.58

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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.