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Finding the Fourth Proportional to 452.42, 624.50 and 266

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Solution

The fourth proportional to 452.42, 624.50 and 266 is: 367.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.42 : 624.50 = 266 : x
  2. Step 2: Convert to fraction form
    452.42/624.50 = 266/x
  3. Step 3: Cross multiply
    452.42x = 624.50 × 266
  4. Step 4: Simplify right side
    452.42x = 166,117
  5. Step 5: Solve for x
    x = 166,117/452.42
  6. Step 6: Final answer
    x = 367.17

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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.