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Finding the Fourth Proportional to 459.57, 689.66 and 429.20

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Solution

The fourth proportional to 459.57, 689.66 and 429.20 is: 644.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.57 : 689.66 = 429.20 : x
  2. Step 2: Convert to fraction form
    459.57/689.66 = 429.20/x
  3. Step 3: Cross multiply
    459.57x = 689.66 × 429.20
  4. Step 4: Simplify right side
    459.57x = 295,999.93
  5. Step 5: Solve for x
    x = 295,999.93/459.57
  6. Step 6: Final answer
    x = 644.08

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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.