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Finding the Fourth Proportional to 302.09, 417.17 and 258.17

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Solution

The fourth proportional to 302.09, 417.17 and 258.17 is: 356.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.09 : 417.17 = 258.17 : x
  2. Step 2: Convert to fraction form
    302.09/417.17 = 258.17/x
  3. Step 3: Cross multiply
    302.09x = 417.17 × 258.17
  4. Step 4: Simplify right side
    302.09x = 107,699.34
  5. Step 5: Solve for x
    x = 107,699.34/302.09
  6. Step 6: Final answer
    x = 356.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.