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Finding the Fourth Proportional to 307.65, 424.47 and 219.06

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Solution

The fourth proportional to 307.65, 424.47 and 219.06 is: 302.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.65 : 424.47 = 219.06 : x
  2. Step 2: Convert to fraction form
    307.65/424.47 = 219.06/x
  3. Step 3: Cross multiply
    307.65x = 424.47 × 219.06
  4. Step 4: Simplify right side
    307.65x = 92,984.40
  5. Step 5: Solve for x
    x = 92,984.40/307.65
  6. Step 6: Final answer
    x = 302.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.