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Finding the Fourth Proportional to 420.40, 579.73 and 302.17

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Solution

The fourth proportional to 420.40, 579.73 and 302.17 is: 416.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.40 : 579.73 = 302.17 : x
  2. Step 2: Convert to fraction form
    420.40/579.73 = 302.17/x
  3. Step 3: Cross multiply
    420.40x = 579.73 × 302.17
  4. Step 4: Simplify right side
    420.40x = 175,177.01
  5. Step 5: Solve for x
    x = 175,177.01/420.40
  6. Step 6: Final answer
    x = 416.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.