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Finding the Fourth Proportional to 302.61, 451.73 and 259.01

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Solution

The fourth proportional to 302.61, 451.73 and 259.01 is: 386.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.61 : 451.73 = 259.01 : x
  2. Step 2: Convert to fraction form
    302.61/451.73 = 259.01/x
  3. Step 3: Cross multiply
    302.61x = 451.73 × 259.01
  4. Step 4: Simplify right side
    302.61x = 116,999.03
  5. Step 5: Solve for x
    x = 116,999.03/302.61
  6. Step 6: Final answer
    x = 386.63

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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.