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Finding the Fourth Proportional to 459.34, 633.72 and 304

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Solution

The fourth proportional to 459.34, 633.72 and 304 is: 419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.34 : 633.72 = 304 : x
  2. Step 2: Convert to fraction form
    459.34/633.72 = 304/x
  3. Step 3: Cross multiply
    459.34x = 633.72 × 304
  4. Step 4: Simplify right side
    459.34x = 192,650.88
  5. Step 5: Solve for x
    x = 192,650.88/459.34
  6. Step 6: Final answer
    x = 419.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.