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Finding the Fourth Proportional to 452.07, 624.15 and 277.71

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Solution

The fourth proportional to 452.07, 624.15 and 277.71 is: 383.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.07 : 624.15 = 277.71 : x
  2. Step 2: Convert to fraction form
    452.07/624.15 = 277.71/x
  3. Step 3: Cross multiply
    452.07x = 624.15 × 277.71
  4. Step 4: Simplify right side
    452.07x = 173,332.70
  5. Step 5: Solve for x
    x = 173,332.70/452.07
  6. Step 6: Final answer
    x = 383.42

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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.