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Finding the Fourth Proportional to 665.60, 918.24 and 416.84

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Solution

The fourth proportional to 665.60, 918.24 and 416.84 is: 575.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.60 : 918.24 = 416.84 : x
  2. Step 2: Convert to fraction form
    665.60/918.24 = 416.84/x
  3. Step 3: Cross multiply
    665.60x = 918.24 × 416.84
  4. Step 4: Simplify right side
    665.60x = 382,759.16
  5. Step 5: Solve for x
    x = 382,759.16/665.60
  6. Step 6: Final answer
    x = 575.06

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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.