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Finding the Fourth Proportional to 665.40, 917.64 and 416.64

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Solution

The fourth proportional to 665.40, 917.64 and 416.64 is: 574.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.40 : 917.64 = 416.64 : x
  2. Step 2: Convert to fraction form
    665.40/917.64 = 416.64/x
  3. Step 3: Cross multiply
    665.40x = 917.64 × 416.64
  4. Step 4: Simplify right side
    665.40x = 382,325.53
  5. Step 5: Solve for x
    x = 382,325.53/665.40
  6. Step 6: Final answer
    x = 574.58

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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.