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Finding the Fourth Proportional to 459.87, 688.99 and 383.32

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Solution

The fourth proportional to 459.87, 688.99 and 383.32 is: 574.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.87 : 688.99 = 383.32 : x
  2. Step 2: Convert to fraction form
    459.87/688.99 = 383.32/x
  3. Step 3: Cross multiply
    459.87x = 688.99 × 383.32
  4. Step 4: Simplify right side
    459.87x = 264,103.65
  5. Step 5: Solve for x
    x = 264,103.65/459.87
  6. Step 6: Final answer
    x = 574.30

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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.