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Finding the Fourth Proportional to 307.34, 423.88 and 245.02

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Solution

The fourth proportional to 307.34, 423.88 and 245.02 is: 337.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.34 : 423.88 = 245.02 : x
  2. Step 2: Convert to fraction form
    307.34/423.88 = 245.02/x
  3. Step 3: Cross multiply
    307.34x = 423.88 × 245.02
  4. Step 4: Simplify right side
    307.34x = 103,857.41
  5. Step 5: Solve for x
    x = 103,857.41/307.34
  6. Step 6: Final answer
    x = 337.93

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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.