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Finding the Fourth Proportional to 416.16, 573.54 and 305.46

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Solution

The fourth proportional to 416.16, 573.54 and 305.46 is: 420.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.16 : 573.54 = 305.46 : x
  2. Step 2: Convert to fraction form
    416.16/573.54 = 305.46/x
  3. Step 3: Cross multiply
    416.16x = 573.54 × 305.46
  4. Step 4: Simplify right side
    416.16x = 175,193.53
  5. Step 5: Solve for x
    x = 175,193.53/416.16
  6. Step 6: Final answer
    x = 420.98

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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.