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Finding the Fourth Proportional to 459.03, 633.51 and 257.16

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Solution

The fourth proportional to 459.03, 633.51 and 257.16 is: 354.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.03 : 633.51 = 257.16 : x
  2. Step 2: Convert to fraction form
    459.03/633.51 = 257.16/x
  3. Step 3: Cross multiply
    459.03x = 633.51 × 257.16
  4. Step 4: Simplify right side
    459.03x = 162,912.64
  5. Step 5: Solve for x
    x = 162,912.64/459.03
  6. Step 6: Final answer
    x = 354.91

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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.