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Finding the Fourth Proportional to 500.58, 750.33 and 256.77

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Solution

The fourth proportional to 500.58, 750.33 and 256.77 is: 384.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.58 : 750.33 = 256.77 : x
  2. Step 2: Convert to fraction form
    500.58/750.33 = 256.77/x
  3. Step 3: Cross multiply
    500.58x = 750.33 × 256.77
  4. Step 4: Simplify right side
    500.58x = 192,662.23
  5. Step 5: Solve for x
    x = 192,662.23/500.58
  6. Step 6: Final answer
    x = 384.88

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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.