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Finding the Fourth Proportional to 459.82, 688.57 and 305.27

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Solution

The fourth proportional to 459.82, 688.57 and 305.27 is: 457.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.82 : 688.57 = 305.27 : x
  2. Step 2: Convert to fraction form
    459.82/688.57 = 305.27/x
  3. Step 3: Cross multiply
    459.82x = 688.57 × 305.27
  4. Step 4: Simplify right side
    459.82x = 210,199.76
  5. Step 5: Solve for x
    x = 210,199.76/459.82
  6. Step 6: Final answer
    x = 457.13

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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.