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Finding the Fourth Proportional to 389.76, 538.02 and 258.84

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Solution

The fourth proportional to 389.76, 538.02 and 258.84 is: 357.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.76 : 538.02 = 258.84 : x
  2. Step 2: Convert to fraction form
    389.76/538.02 = 258.84/x
  3. Step 3: Cross multiply
    389.76x = 538.02 × 258.84
  4. Step 4: Simplify right side
    389.76x = 139,261.10
  5. Step 5: Solve for x
    x = 139,261.10/389.76
  6. Step 6: Final answer
    x = 357.30

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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.