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Finding the Fourth Proportional to 302.34, 416.32 and 295.52

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Solution

The fourth proportional to 302.34, 416.32 and 295.52 is: 406.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.34 : 416.32 = 295.52 : x
  2. Step 2: Convert to fraction form
    302.34/416.32 = 295.52/x
  3. Step 3: Cross multiply
    302.34x = 416.32 × 295.52
  4. Step 4: Simplify right side
    302.34x = 123,030.89
  5. Step 5: Solve for x
    x = 123,030.89/302.34
  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.