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Finding the Fourth Proportional to 302.27, 455.06 and 277.16

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Solution

The fourth proportional to 302.27, 455.06 and 277.16 is: 417.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.27 : 455.06 = 277.16 : x
  2. Step 2: Convert to fraction form
    302.27/455.06 = 277.16/x
  3. Step 3: Cross multiply
    302.27x = 455.06 × 277.16
  4. Step 4: Simplify right side
    302.27x = 126,120.77
  5. Step 5: Solve for x
    x = 126,120.77/302.27
  6. Step 6: Final answer
    x = 417.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.