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Finding the Fourth Proportional to 546.54, 754.59 and 416.22

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Solution

The fourth proportional to 546.54, 754.59 and 416.22 is: 574.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.54 : 754.59 = 416.22 : x
  2. Step 2: Convert to fraction form
    546.54/754.59 = 416.22/x
  3. Step 3: Cross multiply
    546.54x = 754.59 × 416.22
  4. Step 4: Simplify right side
    546.54x = 314,075.45
  5. Step 5: Solve for x
    x = 314,075.45/546.54
  6. Step 6: Final answer
    x = 574.66

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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.