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Finding the Fourth Proportional to 354.49, 530.82 and 245.14

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Solution

The fourth proportional to 354.49, 530.82 and 245.14 is: 367.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.49 : 530.82 = 245.14 : x
  2. Step 2: Convert to fraction form
    354.49/530.82 = 245.14/x
  3. Step 3: Cross multiply
    354.49x = 530.82 × 245.14
  4. Step 4: Simplify right side
    354.49x = 130,125.21
  5. Step 5: Solve for x
    x = 130,125.21/354.49
  6. Step 6: Final answer
    x = 367.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.