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Finding the Fourth Proportional to 302.51, 451.58 and 256.37

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Solution

The fourth proportional to 302.51, 451.58 and 256.37 is: 382.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.51 : 451.58 = 256.37 : x
  2. Step 2: Convert to fraction form
    302.51/451.58 = 256.37/x
  3. Step 3: Cross multiply
    302.51x = 451.58 × 256.37
  4. Step 4: Simplify right side
    302.51x = 115,768.02
  5. Step 5: Solve for x
    x = 115,768.02/302.51
  6. Step 6: Final answer
    x = 382.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.