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Finding the Fourth Proportional to 665.19, 917.60 and 416.46

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Solution

The fourth proportional to 665.19, 917.60 and 416.46 is: 574.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.19 : 917.60 = 416.46 : x
  2. Step 2: Convert to fraction form
    665.19/917.60 = 416.46/x
  3. Step 3: Cross multiply
    665.19x = 917.60 × 416.46
  4. Step 4: Simplify right side
    665.19x = 382,141.30
  5. Step 5: Solve for x
    x = 382,141.30/665.19
  6. Step 6: Final answer
    x = 574.48

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1.5x scale

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.