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Finding the Fourth Proportional to 302.64, 417.38 and 204.48

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Solution

The fourth proportional to 302.64, 417.38 and 204.48 is: 282.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.64 : 417.38 = 204.48 : x
  2. Step 2: Convert to fraction form
    302.64/417.38 = 204.48/x
  3. Step 3: Cross multiply
    302.64x = 417.38 × 204.48
  4. Step 4: Simplify right side
    302.64x = 85,345.86
  5. Step 5: Solve for x
    x = 85,345.86/302.64
  6. Step 6: Final answer
    x = 282.00

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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.