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Finding the Fourth Proportional to 416.19, 575.45 and 364.28

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Solution

The fourth proportional to 416.19, 575.45 and 364.28 is: 503.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.19 : 575.45 = 364.28 : x
  2. Step 2: Convert to fraction form
    416.19/575.45 = 364.28/x
  3. Step 3: Cross multiply
    416.19x = 575.45 × 364.28
  4. Step 4: Simplify right side
    416.19x = 209,620.23
  5. Step 5: Solve for x
    x = 209,620.23/416.19
  6. Step 6: Final answer
    x = 503.66

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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.