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Finding the Fourth Proportional to 666.42, 1,000.03 and 255.59

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Solution

The fourth proportional to 666.42, 1,000.03 and 255.59 is: 383.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.42 : 1,000.03 = 255.59 : x
  2. Step 2: Convert to fraction form
    666.42/1,000.03 = 255.59/x
  3. Step 3: Cross multiply
    666.42x = 1,000.03 × 255.59
  4. Step 4: Simplify right side
    666.42x = 255,597.67
  5. Step 5: Solve for x
    x = 255,597.67/666.42
  6. Step 6: Final answer
    x = 383.54

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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.