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Finding the Fourth Proportional to 468.01, 645.84 and 302.23

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Solution

The fourth proportional to 468.01, 645.84 and 302.23 is: 417.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.01 : 645.84 = 302.23 : x
  2. Step 2: Convert to fraction form
    468.01/645.84 = 302.23/x
  3. Step 3: Cross multiply
    468.01x = 645.84 × 302.23
  4. Step 4: Simplify right side
    468.01x = 195,193.03
  5. Step 5: Solve for x
    x = 195,193.03/468.01
  6. Step 6: Final answer
    x = 417.07

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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.