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Finding the Fourth Proportional to 488.64, 732.93 and 200.07

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Solution

The fourth proportional to 488.64, 732.93 and 200.07 is: 300.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.64 : 732.93 = 200.07 : x
  2. Step 2: Convert to fraction form
    488.64/732.93 = 200.07/x
  3. Step 3: Cross multiply
    488.64x = 732.93 × 200.07
  4. Step 4: Simplify right side
    488.64x = 146,637.31
  5. Step 5: Solve for x
    x = 146,637.31/488.64
  6. Step 6: Final answer
    x = 300.09

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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.