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Finding the Fourth Proportional to 416.39, 624.25 and 156.35

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Solution

The fourth proportional to 416.39, 624.25 and 156.35 is: 234.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.39 : 624.25 = 156.35 : x
  2. Step 2: Convert to fraction form
    416.39/624.25 = 156.35/x
  3. Step 3: Cross multiply
    416.39x = 624.25 × 156.35
  4. Step 4: Simplify right side
    416.39x = 97,600.71
  5. Step 5: Solve for x
    x = 97,600.71/416.39
  6. Step 6: Final answer
    x = 234.40

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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.