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Finding the Fourth Proportional to 606.30, 907.65 and 401.10

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Solution

The fourth proportional to 606.30, 907.65 and 401.10 is: 600.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.30 : 907.65 = 401.10 : x
  2. Step 2: Convert to fraction form
    606.30/907.65 = 401.10/x
  3. Step 3: Cross multiply
    606.30x = 907.65 × 401.10
  4. Step 4: Simplify right side
    606.30x = 364,058.42
  5. Step 5: Solve for x
    x = 364,058.42/606.30
  6. Step 6: Final answer
    x = 600.46

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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.