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Finding the Fourth Proportional to 459.92, 689.36 and 295.14

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Solution

The fourth proportional to 459.92, 689.36 and 295.14 is: 442.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.92 : 689.36 = 295.14 : x
  2. Step 2: Convert to fraction form
    459.92/689.36 = 295.14/x
  3. Step 3: Cross multiply
    459.92x = 689.36 × 295.14
  4. Step 4: Simplify right side
    459.92x = 203,457.71
  5. Step 5: Solve for x
    x = 203,457.71/459.92
  6. Step 6: Final answer
    x = 442.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.