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Finding the Fourth Proportional to 665.98, 918.32 and 456.19

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Solution

The fourth proportional to 665.98, 918.32 and 456.19 is: 629.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.98 : 918.32 = 456.19 : x
  2. Step 2: Convert to fraction form
    665.98/918.32 = 456.19/x
  3. Step 3: Cross multiply
    665.98x = 918.32 × 456.19
  4. Step 4: Simplify right side
    665.98x = 418,926.12
  5. Step 5: Solve for x
    x = 418,926.12/665.98
  6. Step 6: Final answer
    x = 629.04

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Double scale
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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.