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Finding the Fourth Proportional to 389.34, 537.57 and 258.66

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Solution

The fourth proportional to 389.34, 537.57 and 258.66 is: 357.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.34 : 537.57 = 258.66 : x
  2. Step 2: Convert to fraction form
    389.34/537.57 = 258.66/x
  3. Step 3: Cross multiply
    389.34x = 537.57 × 258.66
  4. Step 4: Simplify right side
    389.34x = 139,047.86
  5. Step 5: Solve for x
    x = 139,047.86/389.34
  6. Step 6: Final answer
    x = 357.14

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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.