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Finding the Fourth Proportional to 459.18, 683.99 and 434.34

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Solution

The fourth proportional to 459.18, 683.99 and 434.34 is: 646.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.18 : 683.99 = 434.34 : x
  2. Step 2: Convert to fraction form
    459.18/683.99 = 434.34/x
  3. Step 3: Cross multiply
    459.18x = 683.99 × 434.34
  4. Step 4: Simplify right side
    459.18x = 297,084.22
  5. Step 5: Solve for x
    x = 297,084.22/459.18
  6. Step 6: Final answer
    x = 646.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.