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Finding the Fourth Proportional to 500.58, 756.54 and 500.58

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Solution

The fourth proportional to 500.58, 756.54 and 500.58 is: 756.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.58 : 756.54 = 500.58 : x
  2. Step 2: Convert to fraction form
    500.58/756.54 = 500.58/x
  3. Step 3: Cross multiply
    500.58x = 756.54 × 500.58
  4. Step 4: Simplify right side
    500.58x = 378,708.79
  5. Step 5: Solve for x
    x = 378,708.79/500.58
  6. Step 6: Final answer
    x = 756.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.