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Finding the Fourth Proportional to 302.16, 416.16 and 287.52

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Solution

The fourth proportional to 302.16, 416.16 and 287.52 is: 396.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.16 : 416.16 = 287.52 : x
  2. Step 2: Convert to fraction form
    302.16/416.16 = 287.52/x
  3. Step 3: Cross multiply
    302.16x = 416.16 × 287.52
  4. Step 4: Simplify right side
    302.16x = 119,654.32
  5. Step 5: Solve for x
    x = 119,654.32/302.16
  6. Step 6: Final answer
    x = 396.00

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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.