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Finding the Fourth Proportional to 624.34, 936.35 and 380.02

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Solution

The fourth proportional to 624.34, 936.35 and 380.02 is: 569.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.34 : 936.35 = 380.02 : x
  2. Step 2: Convert to fraction form
    624.34/936.35 = 380.02/x
  3. Step 3: Cross multiply
    624.34x = 936.35 × 380.02
  4. Step 4: Simplify right side
    624.34x = 355,831.73
  5. Step 5: Solve for x
    x = 355,831.73/624.34
  6. Step 6: Final answer
    x = 569.93

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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.