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Finding the Fourth Proportional to 459.21, 689.00 and 240.00

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Solution

The fourth proportional to 459.21, 689.00 and 240.00 is: 360.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.21 : 689.00 = 240.00 : x
  2. Step 2: Convert to fraction form
    459.21/689.00 = 240.00/x
  3. Step 3: Cross multiply
    459.21x = 689.00 × 240.00
  4. Step 4: Simplify right side
    459.21x = 165,358.02
  5. Step 5: Solve for x
    x = 165,358.02/459.21
  6. Step 6: Final answer
    x = 360.10

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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.