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Finding the Fourth Proportional to 459.39, 688.46 and 304.91

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Solution

The fourth proportional to 459.39, 688.46 and 304.91 is: 456.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.39 : 688.46 = 304.91 : x
  2. Step 2: Convert to fraction form
    459.39/688.46 = 304.91/x
  3. Step 3: Cross multiply
    459.39x = 688.46 × 304.91
  4. Step 4: Simplify right side
    459.39x = 209,913.37
  5. Step 5: Solve for x
    x = 209,913.37/459.39
  6. Step 6: Final answer
    x = 456.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.