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Finding the Fourth Proportional to 307.81, 424.45 and 229.00

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Solution

The fourth proportional to 307.81, 424.45 and 229.00 is: 315.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.81 : 424.45 = 229.00 : x
  2. Step 2: Convert to fraction form
    307.81/424.45 = 229.00/x
  3. Step 3: Cross multiply
    307.81x = 424.45 × 229.00
  4. Step 4: Simplify right side
    307.81x = 97,197.42
  5. Step 5: Solve for x
    x = 97,197.42/307.81
  6. Step 6: Final answer
    x = 315.77

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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.