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Finding the Fourth Proportional to 501.30, 753.33 and 258

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Solution

The fourth proportional to 501.30, 753.33 and 258 is: 387.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.30 : 753.33 = 258 : x
  2. Step 2: Convert to fraction form
    501.30/753.33 = 258/x
  3. Step 3: Cross multiply
    501.30x = 753.33 × 258
  4. Step 4: Simplify right side
    501.30x = 194,359.14
  5. Step 5: Solve for x
    x = 194,359.14/501.30
  6. Step 6: Final answer
    x = 387.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.