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Finding the Fourth Proportional to 459.94, 689.91 and 117.94

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Solution

The fourth proportional to 459.94, 689.91 and 117.94 is: 176.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.94 : 689.91 = 117.94 : x
  2. Step 2: Convert to fraction form
    459.94/689.91 = 117.94/x
  3. Step 3: Cross multiply
    459.94x = 689.91 × 117.94
  4. Step 4: Simplify right side
    459.94x = 81,365.82
  5. Step 5: Solve for x
    x = 81,365.82/459.94
  6. Step 6: Final answer
    x = 176.91

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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.