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Finding the Fourth Proportional to 606.40, 907.92 and 442.06

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Solution

The fourth proportional to 606.40, 907.92 and 442.06 is: 661.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.40 : 907.92 = 442.06 : x
  2. Step 2: Convert to fraction form
    606.40/907.92 = 442.06/x
  3. Step 3: Cross multiply
    606.40x = 907.92 × 442.06
  4. Step 4: Simplify right side
    606.40x = 401,355.12
  5. Step 5: Solve for x
    x = 401,355.12/606.40
  6. Step 6: Final answer
    x = 661.87

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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.