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Finding the Fourth Proportional to 526.92, 727.11 and 294

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Solution

The fourth proportional to 526.92, 727.11 and 294 is: 405.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.92 : 727.11 = 294 : x
  2. Step 2: Convert to fraction form
    526.92/727.11 = 294/x
  3. Step 3: Cross multiply
    526.92x = 727.11 × 294
  4. Step 4: Simplify right side
    526.92x = 213,770.34
  5. Step 5: Solve for x
    x = 213,770.34/526.92
  6. Step 6: Final answer
    x = 405.70

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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.