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Finding the Fourth Proportional to 459.64, 688.69 and 296.99

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Solution

The fourth proportional to 459.64, 688.69 and 296.99 is: 444.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.64 : 688.69 = 296.99 : x
  2. Step 2: Convert to fraction form
    459.64/688.69 = 296.99/x
  3. Step 3: Cross multiply
    459.64x = 688.69 × 296.99
  4. Step 4: Simplify right side
    459.64x = 204,533.55
  5. Step 5: Solve for x
    x = 204,533.55/459.64
  6. Step 6: Final answer
    x = 444.99

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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.