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Finding the Fourth Proportional to 526.93, 727.22 and 294.07

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Solution

The fourth proportional to 526.93, 727.22 and 294.07 is: 405.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.93 : 727.22 = 294.07 : x
  2. Step 2: Convert to fraction form
    526.93/727.22 = 294.07/x
  3. Step 3: Cross multiply
    526.93x = 727.22 × 294.07
  4. Step 4: Simplify right side
    526.93x = 213,853.59
  5. Step 5: Solve for x
    x = 213,853.59/526.93
  6. Step 6: Final answer
    x = 405.85

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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.