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Finding the Fourth Proportional to 407.52, 610.68 and 202.08

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Solution

The fourth proportional to 407.52, 610.68 and 202.08 is: 302.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.52 : 610.68 = 202.08 : x
  2. Step 2: Convert to fraction form
    407.52/610.68 = 202.08/x
  3. Step 3: Cross multiply
    407.52x = 610.68 × 202.08
  4. Step 4: Simplify right side
    407.52x = 123,406.21
  5. Step 5: Solve for x
    x = 123,406.21/407.52
  6. Step 6: Final answer
    x = 302.82

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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.