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Finding the Fourth Proportional to 307.50, 458.88 and 280.26

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Solution

The fourth proportional to 307.50, 458.88 and 280.26 is: 418.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.50 : 458.88 = 280.26 : x
  2. Step 2: Convert to fraction form
    307.50/458.88 = 280.26/x
  3. Step 3: Cross multiply
    307.50x = 458.88 × 280.26
  4. Step 4: Simplify right side
    307.50x = 128,605.71
  5. Step 5: Solve for x
    x = 128,605.71/307.50
  6. Step 6: Final answer
    x = 418.23

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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.