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Finding the Fourth Proportional to 420.04, 579.56 and 233.50

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Solution

The fourth proportional to 420.04, 579.56 and 233.50 is: 322.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.04 : 579.56 = 233.50 : x
  2. Step 2: Convert to fraction form
    420.04/579.56 = 233.50/x
  3. Step 3: Cross multiply
    420.04x = 579.56 × 233.50
  4. Step 4: Simplify right side
    420.04x = 135,327.26
  5. Step 5: Solve for x
    x = 135,327.26/420.04
  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.