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Finding the Fourth Proportional to 488.34, 732.64 and 257.16

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Solution

The fourth proportional to 488.34, 732.64 and 257.16 is: 385.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.34 : 732.64 = 257.16 : x
  2. Step 2: Convert to fraction form
    488.34/732.64 = 257.16/x
  3. Step 3: Cross multiply
    488.34x = 732.64 × 257.16
  4. Step 4: Simplify right side
    488.34x = 188,406.26
  5. Step 5: Solve for x
    x = 188,406.26/488.34
  6. Step 6: Final answer
    x = 385.81

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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.