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Finding the Fourth Proportional to 420.06, 579.50 and 302.02

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Solution

The fourth proportional to 420.06, 579.50 and 302.02 is: 416.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.06 : 579.50 = 302.02 : x
  2. Step 2: Convert to fraction form
    420.06/579.50 = 302.02/x
  3. Step 3: Cross multiply
    420.06x = 579.50 × 302.02
  4. Step 4: Simplify right side
    420.06x = 175,020.59
  5. Step 5: Solve for x
    x = 175,020.59/420.06
  6. Step 6: Final answer
    x = 416.66

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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.