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Finding the Fourth Proportional to 452.69, 624.40 and 406.52

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Solution

The fourth proportional to 452.69, 624.40 and 406.52 is: 560.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.69 : 624.40 = 406.52 : x
  2. Step 2: Convert to fraction form
    452.69/624.40 = 406.52/x
  3. Step 3: Cross multiply
    452.69x = 624.40 × 406.52
  4. Step 4: Simplify right side
    452.69x = 253,831.09
  5. Step 5: Solve for x
    x = 253,831.09/452.69
  6. Step 6: Final answer
    x = 560.72

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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.