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Finding the Fourth Proportional to 306.96, 458.40 and 288.96

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Solution

The fourth proportional to 306.96, 458.40 and 288.96 is: 431.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.96 : 458.40 = 288.96 : x
  2. Step 2: Convert to fraction form
    306.96/458.40 = 288.96/x
  3. Step 3: Cross multiply
    306.96x = 458.40 × 288.96
  4. Step 4: Simplify right side
    306.96x = 132,459.26
  5. Step 5: Solve for x
    x = 132,459.26/306.96
  6. Step 6: Final answer
    x = 431.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.