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Finding the Fourth Proportional to 500.87, 749.57 and 305.76

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Solution

The fourth proportional to 500.87, 749.57 and 305.76 is: 457.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.87 : 749.57 = 305.76 : x
  2. Step 2: Convert to fraction form
    500.87/749.57 = 305.76/x
  3. Step 3: Cross multiply
    500.87x = 749.57 × 305.76
  4. Step 4: Simplify right side
    500.87x = 229,186.99
  5. Step 5: Solve for x
    x = 229,186.99/500.87
  6. Step 6: Final answer
    x = 457.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.