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Finding the Fourth Proportional to 526.82, 725.83 and 477.68

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Solution

The fourth proportional to 526.82, 725.83 and 477.68 is: 658.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.82 : 725.83 = 477.68 : x
  2. Step 2: Convert to fraction form
    526.82/725.83 = 477.68/x
  3. Step 3: Cross multiply
    526.82x = 725.83 × 477.68
  4. Step 4: Simplify right side
    526.82x = 346,709.65
  5. Step 5: Solve for x
    x = 346,709.65/526.82
  6. Step 6: Final answer
    x = 658.12

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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.