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Finding the Fourth Proportional to 657.02, 906.75 and 405.08

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Solution

The fourth proportional to 657.02, 906.75 and 405.08 is: 559.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.02 : 906.75 = 405.08 : x
  2. Step 2: Convert to fraction form
    657.02/906.75 = 405.08/x
  3. Step 3: Cross multiply
    657.02x = 906.75 × 405.08
  4. Step 4: Simplify right side
    657.02x = 367,306.29
  5. Step 5: Solve for x
    x = 367,306.29/657.02
  6. Step 6: Final answer
    x = 559.05

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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.