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Finding the Fourth Proportional to 349.57, 524.40 and 264.07

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Solution

The fourth proportional to 349.57, 524.40 and 264.07 is: 396.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.57 : 524.40 = 264.07 : x
  2. Step 2: Convert to fraction form
    349.57/524.40 = 264.07/x
  3. Step 3: Cross multiply
    349.57x = 524.40 × 264.07
  4. Step 4: Simplify right side
    349.57x = 138,478.31
  5. Step 5: Solve for x
    x = 138,478.31/349.57
  6. Step 6: Final answer
    x = 396.14

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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.