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Finding the Fourth Proportional to 459.30, 688.14 and 297.04

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Solution

The fourth proportional to 459.30, 688.14 and 297.04 is: 445.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.30 : 688.14 = 297.04 : x
  2. Step 2: Convert to fraction form
    459.30/688.14 = 297.04/x
  3. Step 3: Cross multiply
    459.30x = 688.14 × 297.04
  4. Step 4: Simplify right side
    459.30x = 204,405.11
  5. Step 5: Solve for x
    x = 204,405.11/459.30
  6. Step 6: Final answer
    x = 445.04

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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.