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Finding the Fourth Proportional to 459.58, 689.35 and 134.95

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Solution

The fourth proportional to 459.58, 689.35 and 134.95 is: 202.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.58 : 689.35 = 134.95 : x
  2. Step 2: Convert to fraction form
    459.58/689.35 = 134.95/x
  3. Step 3: Cross multiply
    459.58x = 689.35 × 134.95
  4. Step 4: Simplify right side
    459.58x = 93,025.72
  5. Step 5: Solve for x
    x = 93,025.72/459.58
  6. Step 6: Final answer
    x = 202.42

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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.