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Finding the Fourth Proportional to 452, 677.04 and 297.76

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Solution

The fourth proportional to 452, 677.04 and 297.76 is: 446.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    452 : 677.04 = 297.76 : x
  2. Step 2: Convert to fraction form
    452/677.04 = 297.76/x
  3. Step 3: Cross multiply
    452x = 677.04 × 297.76
  4. Step 4: Simplify right side
    452x = 201,595.43
  5. Step 5: Solve for x
    x = 201,595.43/452
  6. Step 6: Final answer
    x = 446.01

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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.