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Finding the Fourth Proportional to 482.60, 666.06 and 420.20

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Solution

The fourth proportional to 482.60, 666.06 and 420.20 is: 579.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.60 : 666.06 = 420.20 : x
  2. Step 2: Convert to fraction form
    482.60/666.06 = 420.20/x
  3. Step 3: Cross multiply
    482.60x = 666.06 × 420.20
  4. Step 4: Simplify right side
    482.60x = 279,878.41
  5. Step 5: Solve for x
    x = 279,878.41/482.60
  6. Step 6: Final answer
    x = 579.94

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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.