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Finding the Fourth Proportional to 624.84, 936.72 and 365.10

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Solution

The fourth proportional to 624.84, 936.72 and 365.10 is: 547.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.84 : 936.72 = 365.10 : x
  2. Step 2: Convert to fraction form
    624.84/936.72 = 365.10/x
  3. Step 3: Cross multiply
    624.84x = 936.72 × 365.10
  4. Step 4: Simplify right side
    624.84x = 341,996.47
  5. Step 5: Solve for x
    x = 341,996.47/624.84
  6. Step 6: Final answer
    x = 547.33

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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.