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Finding the Fourth Proportional to 416.61, 573.86 and 346.53

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Solution

The fourth proportional to 416.61, 573.86 and 346.53 is: 477.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.61 : 573.86 = 346.53 : x
  2. Step 2: Convert to fraction form
    416.61/573.86 = 346.53/x
  3. Step 3: Cross multiply
    416.61x = 573.86 × 346.53
  4. Step 4: Simplify right side
    416.61x = 198,857.97
  5. Step 5: Solve for x
    x = 198,857.97/416.61
  6. Step 6: Final answer
    x = 477.32

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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.