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Finding the Fourth Proportional to 302.33, 416.32 and 295.51

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Solution

The fourth proportional to 302.33, 416.32 and 295.51 is: 406.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.33 : 416.32 = 295.51 : x
  2. Step 2: Convert to fraction form
    302.33/416.32 = 295.51/x
  3. Step 3: Cross multiply
    302.33x = 416.32 × 295.51
  4. Step 4: Simplify right side
    302.33x = 123,026.72
  5. Step 5: Solve for x
    x = 123,026.72/302.33
  6. Step 6: Final answer
    x = 406.93

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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.