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Finding the Fourth Proportional to 665.57, 918.12 and 416.83

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Solution

The fourth proportional to 665.57, 918.12 and 416.83 is: 575.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.57 : 918.12 = 416.83 : x
  2. Step 2: Convert to fraction form
    665.57/918.12 = 416.83/x
  3. Step 3: Cross multiply
    665.57x = 918.12 × 416.83
  4. Step 4: Simplify right side
    665.57x = 382,701.11
  5. Step 5: Solve for x
    x = 382,701.11/665.57
  6. Step 6: Final answer
    x = 575.00

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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.