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Finding the Fourth Proportional to 347.32, 521.52 and 292.44

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Solution

The fourth proportional to 347.32, 521.52 and 292.44 is: 439.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.32 : 521.52 = 292.44 : x
  2. Step 2: Convert to fraction form
    347.32/521.52 = 292.44/x
  3. Step 3: Cross multiply
    347.32x = 521.52 × 292.44
  4. Step 4: Simplify right side
    347.32x = 152,513.31
  5. Step 5: Solve for x
    x = 152,513.31/347.32
  6. Step 6: Final answer
    x = 439.11

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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.