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Finding the Fourth Proportional to 416.16, 574.50 and 285.24

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Solution

The fourth proportional to 416.16, 574.50 and 285.24 is: 393.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.16 : 574.50 = 285.24 : x
  2. Step 2: Convert to fraction form
    416.16/574.50 = 285.24/x
  3. Step 3: Cross multiply
    416.16x = 574.50 × 285.24
  4. Step 4: Simplify right side
    416.16x = 163,870.38
  5. Step 5: Solve for x
    x = 163,870.38/416.16
  6. Step 6: Final answer
    x = 393.77

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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.