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Finding the Fourth Proportional to 527.07, 727.35 and 294.24

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Solution

The fourth proportional to 527.07, 727.35 and 294.24 is: 406.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.07 : 727.35 = 294.24 : x
  2. Step 2: Convert to fraction form
    527.07/727.35 = 294.24/x
  3. Step 3: Cross multiply
    527.07x = 727.35 × 294.24
  4. Step 4: Simplify right side
    527.07x = 214,015.46
  5. Step 5: Solve for x
    x = 214,015.46/527.07
  6. Step 6: Final answer
    x = 406.05

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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.