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Finding the Fourth Proportional to 420, 579.56 and 233.48

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Solution

The fourth proportional to 420, 579.56 and 233.48 is: 322.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    420 : 579.56 = 233.48 : x
  2. Step 2: Convert to fraction form
    420/579.56 = 233.48/x
  3. Step 3: Cross multiply
    420x = 579.56 × 233.48
  4. Step 4: Simplify right side
    420x = 135,315.67
  5. Step 5: Solve for x
    x = 135,315.67/420
  6. Step 6: Final answer
    x = 322.18

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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.