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Finding the Fourth Proportional to 306.24, 458.40 and 285.60

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Solution

The fourth proportional to 306.24, 458.40 and 285.60 is: 427.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.24 : 458.40 = 285.60 : x
  2. Step 2: Convert to fraction form
    306.24/458.40 = 285.60/x
  3. Step 3: Cross multiply
    306.24x = 458.40 × 285.60
  4. Step 4: Simplify right side
    306.24x = 130,919.04
  5. Step 5: Solve for x
    x = 130,919.04/306.24
  6. Step 6: Final answer
    x = 427.50

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Why These Related Problems?

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