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Finding the Fourth Proportional to 526.87, 727.10 and 290.84

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Solution

The fourth proportional to 526.87, 727.10 and 290.84 is: 401.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.87 : 727.10 = 290.84 : x
  2. Step 2: Convert to fraction form
    526.87/727.10 = 290.84/x
  3. Step 3: Cross multiply
    526.87x = 727.10 × 290.84
  4. Step 4: Simplify right side
    526.87x = 211,470.67
  5. Step 5: Solve for x
    x = 211,470.67/526.87
  6. Step 6: Final answer
    x = 401.37

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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.