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Finding the Fourth Proportional to 459.99, 634.86 and 285.35

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Solution

The fourth proportional to 459.99, 634.86 and 285.35 is: 393.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.99 : 634.86 = 285.35 : x
  2. Step 2: Convert to fraction form
    459.99/634.86 = 285.35/x
  3. Step 3: Cross multiply
    459.99x = 634.86 × 285.35
  4. Step 4: Simplify right side
    459.99x = 181,154.13
  5. Step 5: Solve for x
    x = 181,154.13/459.99
  6. Step 6: Final answer
    x = 393.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.