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Finding the Fourth Proportional to 459.14, 688.50 and 305.24

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Solution

The fourth proportional to 459.14, 688.50 and 305.24 is: 457.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.14 : 688.50 = 305.24 : x
  2. Step 2: Convert to fraction form
    459.14/688.50 = 305.24/x
  3. Step 3: Cross multiply
    459.14x = 688.50 × 305.24
  4. Step 4: Simplify right side
    459.14x = 210,154.30
  5. Step 5: Solve for x
    x = 210,154.30/459.14
  6. Step 6: Final answer
    x = 457.72

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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.