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Finding the Fourth Proportional to 307.46, 424.58 and 214.52

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Solution

The fourth proportional to 307.46, 424.58 and 214.52 is: 296.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.46 : 424.58 = 214.52 : x
  2. Step 2: Convert to fraction form
    307.46/424.58 = 214.52/x
  3. Step 3: Cross multiply
    307.46x = 424.58 × 214.52
  4. Step 4: Simplify right side
    307.46x = 91,077.71
  5. Step 5: Solve for x
    x = 91,077.71/307.46
  6. Step 6: Final answer
    x = 296.22

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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.