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Finding the Fourth Proportional to 420.02, 579.64 and 233.51

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Solution

The fourth proportional to 420.02, 579.64 and 233.51 is: 322.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.02 : 579.64 = 233.51 : x
  2. Step 2: Convert to fraction form
    420.02/579.64 = 233.51/x
  3. Step 3: Cross multiply
    420.02x = 579.64 × 233.51
  4. Step 4: Simplify right side
    420.02x = 135,351.74
  5. Step 5: Solve for x
    x = 135,351.74/420.02
  6. Step 6: Final answer
    x = 322.25

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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.