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Finding the Fourth Proportional to 659.42, 990.51 and 416.12

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Solution

The fourth proportional to 659.42, 990.51 and 416.12 is: 625.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.42 : 990.51 = 416.12 : x
  2. Step 2: Convert to fraction form
    659.42/990.51 = 416.12/x
  3. Step 3: Cross multiply
    659.42x = 990.51 × 416.12
  4. Step 4: Simplify right side
    659.42x = 412,166.07
  5. Step 5: Solve for x
    x = 412,166.07/659.42
  6. Step 6: Final answer
    x = 625.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.