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Finding the Fourth Proportional to 415.77, 624.40 and 394.51

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Solution

The fourth proportional to 415.77, 624.40 and 394.51 is: 592.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.77 : 624.40 = 394.51 : x
  2. Step 2: Convert to fraction form
    415.77/624.40 = 394.51/x
  3. Step 3: Cross multiply
    415.77x = 624.40 × 394.51
  4. Step 4: Simplify right side
    415.77x = 246,329.50
  5. Step 5: Solve for x
    x = 246,329.50/415.77
  6. Step 6: Final answer
    x = 592.47

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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.